Zeros of group characters
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Each nonabelian irreducible character has a zero.
“Moreover, by [20], each nonabelian irreducible character has a zero.”
From Representations of the Weyl Algebra in Quantum Geometry (2009) · cites this paper as [20]
Cites
Theorie der Darstellung kontinuierlicher halb-einfacher Gruppen durch lineare Transformationen. III
Weyl, H. (1926) · Mathematische Zeitschrift · doi:10.1007/bf01216789 · Cited by 235 · see citing works
Group Characters and Normal Hall Subgroups
Gallagher, P. X. (1962) · Nagoya Mathematical Journal · doi:10.1017/s0027763000023849 · Cited by 92 · see citing works
Self-citationLa théorie des groupes finis et continus et l'Analysis situs
Cartan, É. (1952) · International Linear Collider · Cited by 49 · see citing works
Group characters and commutators
Gallagher, P. (1962) · Mathematische Zeitschrift · doi:10.1007/bf01193110 · Cited by 24 · see citing works
Self-citationBurnside, W. R. (1904) · Proceedings of the London Mathematical Society · doi:10.1112/plms/s2-1.1.112 · Cited by 12 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Representations of the Weyl Algebra in Quantum Geometry
Fleischhack, C. (2009) · Communications in Mathematical Physics · doi:10.1007/s00220-008-0593-3 · Cited by 183 · see citing works
- Authors
- Gallagher, P. X.
- Affiliations
- Institute for Advanced Study (US)
- Corresponding author
- Gallagher, Patrick X.
- Venue
- Mathematische Zeitschrift
- Published
- 1965
- Volume
- 87
- Issue
- 3
- Pages
- 363-364
- ISSN
- 0025-5874 (ISSN-L)
- 1432-1823
- OpenAlex
- W2058953589
- Cited by
- 13
- References
- 5
- Citations by year
- 2025: 1 · 2017: 1
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Mathematische Zeitschrift (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Discrete Mathematics and Combinatorics › Finite Group Theory Research
- Physical Sciences › Mathematics › Mathematical Physics › Advanced Algebra and Geometry
- Physical Sciences › Mathematics › Algebra and Number Theory › Analytic Number Theory Research
- Keywords
- group characters, representation theory of finite groups, character theory
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.
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