Cited by 197Advanced Algebra and GeometryFinite Group Theory ResearchAdvanced Topics in Algebra

The DOI matches its Crossref record.

Theorie der Darstellung kontinuierlicher halb-einfacher Gruppen durch lineare Transformationen. I

Weyl, H.·1925·Mathematische Zeitschrift

DOI 10.1007/bf01506234

Open this paper in CoChat — free account

Integrity signals

Registry

Crossref · 10.1007/bf01506234

Cites

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

We couldn’t retrieve this paper’s full text, so its claims and self-check weren’t run. The registry and citation checks still apply.

Still being checked.

Research works printed but not linked: 3

Proc. London Math. Soc.33 (1900), S. 97;34 (1901), S. 361.
Bull. Soc. Math. de France41, S. 53 (zitiert als Cartan II). Ferner Journ. de Mathém. 6,10 (1914), S. 149. Diese Arbeiten stützen sich auf die Thèse von Cartan, Paris 1894, in welcher die Killingsche Tabelle der in abstracto vorhandenen halb-einfachen Gruppen sichergestellt wurde.
Vgl. I. Schur, Dissertation, S. 31, Formel (24).

Sorted by citations

Items 101–197 of 197

Zur Theorie der Spingruppen
Bauer, F. L. (1954) · Mathematische Annalen · doi:10.1007/bf01360136 · Cited by 8
Eine Kennzeichnung der Riemannschen sowie der Hermiteschen Mannigfaltigkeiten
Klingenberg, W. (1958) · Mathematische Zeitschrift · doi:10.1007/bf01558595 · Cited by 8
Generalized Racah Tensors and the Structure of Mixed Configurations
Butler, P. H., & Wybourne, B. G. (1970) · Journal of Mathematical Physics · doi:10.1063/1.1665419 · Cited by 8
Numerical observation of SU( N ) Nagaoka ferromagnetism
Botzung, T., & Nataf, P. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.109.235131 · Cited by 7
A property of the structure constants of finite dimensional compact simple Lie algebras
Metha, M. L., Normand, J. M., & Gupta, V. K. (1983) · Communications in Mathematical Physics · doi:10.1007/bf01209387 · Cited by 7
Die Probleme der modernen Galoisschen Theorie
Tschebotaröw, N. (1934) · Commentarii Mathematici Helvetici · doi:10.1007/bf01297335 · Cited by 7
Computation of Weyl groups of 𝐺-varieties
Losev, I. (2010) · Representation Theory of the American Mathematical Society · doi:10.1090/s1088-4165-10-00365-1 · Cited by 7
CleGo: A package for automated computation of Clebsch–Gordan coefficients in tensor product representations for Lie algebras A–G
Horst, C., & Reuter, J. (2011) · Computer Physics Communications · doi:10.1016/j.cpc.2011.03.025 · Cited by 6
Traces of integrability in scattering of one-dimensional dimers on a barrier
Polo, J., Minguzzi, A., & Olshanii, M. (2019) · New Journal of Physics · doi:10.1088/1367-2630/ab0612 · Cited by 7
Generating functions for IR multiplicities
Bodine, C., & Gaskell, R. (1982) · Journal of Mathematical Physics · doi:10.1063/1.525310 · Cited by 6
The state labeling problem—A universal solution
Coleman, A. J. (1986) · Journal of Mathematical Physics · doi:10.1063/1.527012 · Cited by 6
Enhancement of the spin–orbit coupling by strong electronic correlations in transition metal and light actinide compounds
Riseborough, P. S., Magalhães, S. G., Calegari, E. J., & Cao, G. (2020) · Journal of Physics Condensed Matter · doi:10.1088/1361-648x/aba381 · Cited by 5
Folded and contracted solutions of coupled classical dynamical Yang–Baxter and reflection equations
Stokman, J. V. (2021) · Indagationes Mathematicae · doi:10.1016/j.indag.2021.07.003 · Cited by 5
G 2 van der Waerden invariant
Gaskell, R., & Sharp, R. T. (1982) · Journal of Mathematical Physics · doi:10.1063/1.525256 · Cited by 5
Traitement des configurations (d + s)n dans le formalisme des quasi-particules
Feneuille, S. (1969) · Journal de physique · doi:10.1051/jphys:019690030011-12092300 · Cited by 5
Application of generating function techniques to Lie superalgebras
Sharp, R. T., Jeugt, J. V. D., & Hughes, J. W. B. (1985) · Journal of Mathematical Physics · doi:10.1063/1.526546 · Cited by 5
Quasiparticle Formalism and Atomic Shell Theory
Cunningham, M. J., & Wybourne, B. G. (1969) · Journal of Mathematical Physics · doi:10.1063/1.1664815 · Cited by 5
Spectral Measures for G2Preprint
Evans, D. E., & Pugh, M. (2014) · Cited by 5
Spectral Measures for G 2
Evans, D. E., & Pugh, M. (2015) · Communications in Mathematical Physics · doi:10.1007/s00220-015-2293-0 · Cited by 4
Renormalization of quantum field theory on Riemannian manifolds
Dang, N. V., & Herscovich, E. (2018) · Reviews in Mathematical Physics · doi:10.1142/s0129055x1950017x · Cited by 5
Representations of Groups of Lie Type
Craven, D. (2019) · Universitext · doi:10.1007/978-3-030-21792-1_9 · Cited by 4
The Algebras of Lie Groups and Their Representations
Kleima, D., Holman, W. J., & Biedenharn, L. C. (1968) · Elsevier eBooks · doi:10.1016/b978-1-4832-3188-4.50008-9 · Cited by 4
Quasiparticle Formalism and Atomic Shell Theory. II. Mixed Configurations
Cunningham, M. J., & Wybourne, B. G. (1970) · Journal of Mathematical Physics · doi:10.1063/1.1665258 · Cited by 4
SU( N ) Fermi-Hubbard model on two sites: Bethe ansatz solution and quantum phase transition of the Lipkin-Meshkov-Glick model in the large- N limit
Nataf, P. (2025) · Physical Review A · doi:10.1103/physreva.111.l020201 · Cited by 3
Supercharacters and superdimensions of irreducible representations ofB(O/s) orthosymplectic simple Lie superalgebras
Tsohantjis, I., & Cornwell, J. F. (1990) · International Journal of Theoretical Physics · doi:10.1007/bf00674436 · Cited by 3
Darstellungstheorie der Lorentzgruppe
Sexl, R. U., & Urbantke, H. K. (1976) · Springer eBooks · doi:10.1007/978-3-7091-2246-4_8 · Cited by 3
The Weyl map and bundle gerbes
Becker, K. E., Murray, M. K., & Stevenson, D. (2019) · Journal of Geometry and Physics · doi:10.1016/j.geomphys.2019.103572 · Cited by 3
The Gauge Principle, Hermann Weyl, and Symbolic Construction from the “Purely Infinitesimal”
Ryckman, T. A. (2020) · Synthese Library/Synthese library · doi:10.1007/978-3-030-46973-3_9 · Cited by 3
Harish-Chandra's volume formula via Weyl's law and Euler–Maclaurin formula
Hong, S. (2014) · Differential Geometry and its Applications · doi:10.1016/j.difgeo.2014.11.006 · Cited by 3
The “gruppen pest” yesterday, today, and tomorrow
Wybourne, B. G. (2009) · International Journal of Quantum Chemistry · doi:10.1002/qua.560070706 · Cited by 3
The weights of simple modules in Category O for Kac–Moody algebras
Dhillon, G., & Khare, A. (2022) · Journal of Algebra · doi:10.1016/j.jalgebra.2022.03.030 · Cited by 3
Self-Charge-Conjugate Meson Multiplets
Umezawa, M. (1965) · Physical Review · doi:10.1103/physrev.138.b1537 · Cited by 3
Rank dependency of group properties
Wybourne, B. G. (1982) · Physica A Statistical Mechanics and its Applications · doi:10.1016/0378-4371(82)90313-2 · Cited by 3
Complete reducibility and subgroups of exceptional algebraic groups
Campbell, C. M., Quick, M. R., Robertson, E. F., Roney-Dougal, C. M., & Stewart, D. I. (2024) · Cambridge University Press eBooks · doi:10.1017/9781009563208.006 · Cited by 2
Bounds of restriction of characters to submanifolds
Zhang, Y. (2025) · Mathematische Zeitschrift · doi:10.1007/s00209-025-03896-3 · Cited by 2
On some types of topological groups
Satake, I., Fujisaki, G., Katô, K., Kurihara, M., & Nakajima, S. (2001) · Springer eBooks · doi:10.1007/978-4-431-67947-9_21 · Cited by 2
Fock space dualities
Neergård, K. (2020) · Journal of Mathematical Physics · doi:10.1063/5.0015578 · Cited by 2
The Tannaka Duality Theorem for Semisimple Lie Groups and the Unitarian Trick
Sugiura, M. (1981) · Birkhäuser Boston eBooks · doi:10.1007/978-1-4612-5987-9_22 · Cited by 2
Zum Satz von O. Bonnet �ber den Durchmesser einer Eifl�che
Seifert, H. (1961) · Mathematische Zeitschrift · doi:10.1007/bf01180168 · Cited by 2
Convolution and representations
Bourbaki, N. (2004) · Springer eBooks · doi:10.1007/978-3-662-07931-7_2 · Cited by 1
Symmetry packaging I: Irreducible representation blocks, superselection, and packaged entanglement in quantum field theory
Ma, R. (2025) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2025.117076 · Cited by 1
Hausdorffs Blick auf die entstehende algebraische Topologie
Scholz, E. (2008) · Springer eBooks · doi:10.1007/978-3-540-76807-4_33 · Cited by 1
Quantenphysikalischer Ursprung der Eichidee
Bopp, F. (1983) · Annalen der Physik · doi:10.1002/andp.19834950603 · Cited by 1
Circular Unitary Ensembles: Parametric Models and Their Asymptotic Maximum Likelihood Estimates
Dakovic, R., Denker, M., & Gordin, M. (2016) · Journal of Mathematical Sciences · doi:10.1007/s10958-016-3141-2 · Cited by 1
Hermann Weyl, the Gauge Principle, and Symbolic Construction from the “Purely Infinitesimal”
Ryckman, T. A. (2020) · Fundamental theories of physics · doi:10.1007/978-3-030-51197-5_7 · Cited by 1
Vector invariants ofSU 3/Z
Esteve, A., & Tiemblo, A. (1965) · Il Nuovo Cimento · doi:10.1007/bf02734624 · Cited by 1
Irreducible Corepresentations of Groups Having a Compact Simple Lie Group as a Subgroup of Index 2
Mehta, M. L., & Srivastava, P. (1968) · Journal of Mathematical Physics · doi:10.1063/1.1664725 · Cited by 1
References
(1997) · Elsevier eBooks · doi:10.1016/b978-012189800-7/50018-2 · Cited by 1
A Class of Normal Simple Lie Algebras of Characteristic Zero
Jacobson, N. S. (1989) · Birkhäuser Boston eBooks · doi:10.1007/978-1-4612-3692-4_9 · Cited by 1
Algebren
van der Waerden, B. L. (1993) · Springer eBooks · doi:10.1007/978-3-642-58038-3_2 · Cited by 1
Algebren
van der Waerden, B. L. (1967) · Heidelberger Taschenbücher · doi:10.1007/978-3-642-96045-1_2 · Cited by 1
Richard Brauer: Sketches from His Life and Work
Curtis, C. W. (2003) · American Mathematical Monthly · doi:10.1080/00029890.2003.11920007 · Cited by 1
Bibliography
(1966) · Mathematics in Science and Engineering/Mathematics in science and engineering · doi:10.1016/s0076-5392(09)60216-2 · Cited by 1
Peculiarities in the Development of the Theory of Lie Groups
Duistermaat, H. (1990) · Elsevier eBooks · doi:10.1016/b978-0-12-574249-8.50018-3 · Cited by 1
Compact Lie Groups
Duistermaat, J. J., & Kolk, J. A. C. (2000) · Universitext · doi:10.1007/978-3-642-56936-4_3
Zur Geschichte der Darstellungstheorie
Schneider, M. R. (2011) · Springer eBooks · doi:10.1007/978-3-642-21825-5_1
The Origins of Infinite Dimensional Unitary Representations of Lie Groups
Mitsuo, S. (1994) · Birkhäuser Basel eBooks · doi:10.1007/978-3-0348-7521-9_15
A note on the spin in Bhabha’s theory of elementary particles
Gupta, K. K. (1949) · Proceedings of the Indian Academy of Sciences - Section A · doi:10.1007/bf03172457
Sur un espace qui admet comme groupe d'isométries un groupe donné, continu d'ordre fini, simplement transitif, I
Watanabe, S. (1933) · Japanese journal of mathematics · doi:10.4099/jjm1924.10.0_133
Konstruktion von Darstellungen
Schneider, M. R. (2011) · Springer eBooks · doi:10.1007/978-3-642-21825-5_11
Some Abstract Group Theory Revisted and Characteristic Applications
Fritzer, H. P. (1979) · Springer eBooks · doi:10.1007/978-1-4613-2946-6_4
Basic Lie Theory
Hilgert, J., & Neeb, K. (2011) · Springer monographs in mathematics · doi:10.1007/978-0-387-84794-8_9
Fixed symmetry and fixed class generating functions
Gaskell, R., & Sharp, R. T. (1984) · Journal of Mathematical Physics · doi:10.1063/1.526424
On Gel’fand states of representations of U(n) and the Gel’fand lattice polynomials
Henrich, C. J. (1980) · Journal of Mathematical Physics · doi:10.1063/1.524640
Character formulae for classical groups
Frenkel, P. E. (2006) · Open Mathematics · doi:10.2478/s11533-006-0004-y
Duality Between S k and $$\mathrm{GL}(n, \mathbb{C})$$
Bump, D. (2013) · Graduate texts in mathematics · doi:10.1007/978-1-4614-8024-2_34
Galois-twisted Euler-Poincaré characteristics of complex algebraic groups
Johnson, J. F. (2004) · Journal für die reine und angewandte Mathematik (Crelles Journal) · doi:10.1515/crll.2004.017
Rückwirkung auf die Mathematik Der Casimiroperator
Schneider, M. R. (2011) · Springer eBooks · doi:10.1007/978-3-642-21825-5_16
Characters and dimensions of highest-weight representations of the intermediate Lie group $ D_{n-1/2}$
Shtepin, V. V., & Конашенков, Д. Л. (2014) · Izvestiya Mathematics · doi:10.1070/im2014v078n03abeh002701
Book Review
Cogliati, A. (2014) · Historia Mathematica · doi:10.1016/j.hm.2014.10.002
Topological Groups and Lie Groups
Iwamura, T. (1992) · Springer eBooks · doi:10.1007/978-4-431-65859-7_2
Invariant Theory of Infinite Groups
Derksen, H., & Kemper, G. (2015) · Encyclopaedia of mathematical sciences · doi:10.1007/978-3-662-48422-7_4
Algèbres de Lie
Dubreil-Jacotin, M. L. (2014) · doi:10.5802/mbk.42
Bibliography
(1988) · Pure and applied mathematics · doi:10.1016/s0079-8169(09)60044-1
Schur Orthogonality
Bump, D. (2013) · Graduate texts in mathematics · doi:10.1007/978-1-4614-8024-2_2
Bibliography
(2000) · De Gruyter eBooks · doi:10.1515/9783110808056.461
Bibliography
(1988) · Pure and applied mathematics · doi:10.1016/s0079-8169(09)60024-6
References
(1989) · Elsevier eBooks · doi:10.1016/b978-0-12-189805-2.50023-5
IntroSurvey of Representation Theory
Libedinsky, N. (2022) · Journal of the Indian Institute of Science · doi:10.1007/s41745-022-00301-4
Darstellungstheorie der Gruppen und hyperkomplexen Systeme
van der Waerden, B. L. (1931) · Springer eBooks · doi:10.1007/978-3-662-42016-4_7
W
Hazewinkel, M. (1993) · Springer eBooks · doi:10.1007/978-94-015-1233-6_5
Bibliography
(1962) · Pure and applied mathematics · doi:10.1016/s0079-8169(08)62656-2
C
Hazewinkel, M. (1988) · Springer eBooks · doi:10.1007/978-94-009-6000-8_1
Algebren
van der Waerden, B. L. (1959) · Springer eBooks · doi:10.1007/978-3-662-21600-2_7
Introduction
(1988) · Pure and applied mathematics · doi:10.1016/s0079-8169(08)62325-9
Bibliography
(1984) · Pure and applied mathematics · doi:10.1016/s0079-8169(08)61159-9
References
(1988) · North-Holland mathematics studies · doi:10.1016/s0304-0208(08)72044-9
C
Shtern, A. I., Efimov, B. A., Maslov, S. Y., Dushskiĭ, V. A., Лизоркин, П. И., Bakhturin, Y. A., Sabitov, I. K., Parshin, A. N., Prokhorov, A. V., Sarmanov, I. O., et al. (1995) · Springer eBooks · doi:10.1007/978-1-4899-3797-1_3
Bibliography
(1972) · Pure and applied mathematics · doi:10.1016/s0079-8169(08)60521-8
Bibliography
(1978) · Pure and applied mathematics · doi:10.1016/s0079-8169(08)60227-5
Bibliography
(1990) · North-Holland mathematical library · doi:10.1016/s0924-6509(08)70066-7
Bibliography
(1972) · Pure and applied mathematics · doi:10.1016/s0079-8169(08)62883-4
Tempered Representations of Semisimple Lie Groups
Plymen, R., & Şengün, M. H. (2024) · Cambridge University Press eBooks · doi:10.1017/9781009201476.003
Report on scipost_202405_00027v1
(2024) · SciPost Physics Codebases · doi:10.21468/scipost.report.9313
Der Autor und das Buch
Giulini, D., & Scholz, E. (2025) · Klassische Texte der Wissenschaft · doi:10.1007/978-3-662-70400-4_1
Symmetry packaging II: Packaged subspaces, packaged entanglement, and classification
Ma, R. (2025) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2025.117093 · Cited by 1
Coxeter's enumeration of Coxeter groups
Mühlherr, B., & Weiss, R. M. (2026) · Journal of the London Mathematical Society · doi:10.1112/jlms.70379

Authors: Weyl, H.
Corresponding author: Weyl, H.
Venue: Mathematische Zeitschrift
Publisher: Springer Science and Business Media LLC
Published: 1925-12
Volume: 23
Issue: 1
Pages: 271-309
ISSN: 0025-5874 (ISSN-L)
1432-1823
DOI: 10.1007/bf01506234
OpenAlex: W4243996185
Cited by: 197
References: 0
Citations by year: 2026: 1 · 2025: 5 · 2024: 6 · 2022: 2 · 2021: 1 · 2020: 4 · 2019: 3 · 2018: 2 · 2016: 1 · 2015: 3 · 2014: 7 · 2013: 2
FWCI: 2.29
Type: journal article
Language: de
Open access: closed
Licence: www.springer.com/tdm (tdm)
Locations: Mathematische Zeitschrift (publishedVersion)
Topics: Physical Sciences › Mathematics › Algebra and Number Theory › Advanced Algebra and Geometry
Physical Sciences › Mathematics › Discrete Mathematics and Combinatorics › Finite Group Theory Research
Physical Sciences › Mathematics › Algebra and Number Theory › Advanced Topics in Algebra
Keywords: linear representations, representation theory, linear operators, Lie groups

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

Theorie der Darstellung kontinuierlicher halb-einfacher Gruppen durch lineare Transformationen. I

Overview

Integrity signals

Verification

Claims the paper makes

Citations

Cites

Cited by

Related

Metadata

Record

About these checks