The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Clebsch–Gordan and Racah–Wigner Coefficients for a Continuous Series of Representations of ?q (??(2, ℝ))
Open accessAbstract
Abstract: The decomposition of tensor products of representations into irreducibles is studied for a continuous family of integrable operator representations of Uq(sl(2,ℝ). It is described by an explicit integral transformation involving a distributional kernel that can be seen as an analogue of the Clebsch–Gordan coefficients. Moreover, we also study the relation between two canonical decompositions of triple tensor products into irreducibles. It can be represented by an integral transformation with a kernel that generalizes the Racah–Wigner coefficients. This kernel is explicitly calculated.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Higher transcendental functions
Hammer, C. (1954) · Journal of the Franklin Institute · doi:10.1016/0016-0032(54)90080-0 · Cited by 6,211
An Introduction to Harmonic Analysis.
Weiss, G., & Katznelson, Y. (1970) · The American Mathematical Monthly · doi:10.2307/2316172 · Cited by 1,664
Unbounded elements affiliated withC*-algebras and non-compact quantum groups
Woronowicz, S. L. (1991) · Communications in Mathematical Physics · doi:10.1007/bf02100032 · Cited by 216
Liouville bootstrap via harmonic analysis on a noncompact quantum group
Ponsot, B., & Teschner, J. (1999) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9911110 · Cited by 161
Self-citationRepresentation theory of Chern-Simons observables
Alekseev, A., & Schomerus, V. (1996) · Duke Mathematical Journal · doi:10.1215/s0012-7094-96-08519-1 · Cited by 89
Harmonic Analysis on the Quantum Lorentz Group
Buffenoir, E., & Roche, P. (1999) · Communications in Mathematical Physics · doi:10.1007/s002200050736 · Cited by 60
Cited by
The Schwarzian theory — a Wilson line perspective
Blommaert, A., Mertens, T. G., & Verschelde, H. (2018) · Journal of High Energy Physics · doi:10.1007/jhep12(2018)022 · Cited by 123
Liouville quantum gravity — holography, JT and matrices
Mertens, T. G., & Turiaci, G. J. (2021) · Journal of High Energy Physics · doi:10.1007/jhep01(2021)073 · Cited by 130
Universal dynamics of heavy operators in CFT2
Collier, S., Maloney, A., Maxfield, H., & Tsiares, I. (2020) · Journal of High Energy Physics · doi:10.1007/jhep07(2020)074 · Cited by 94
Non-Gaussianities in the statistical distribution of heavy OPE coefficients and wormholes
Belin, A., de Boer, J., & Liska, D. (2022) · Journal of High Energy Physics · doi:10.1007/jhep06(2022)116 · Cited by 48
Multiboundary wormholes and OPE statistics
de Boer, J., Liška, D., & Post, B. (2024) · Journal of High Energy Physics · doi:10.1007/jhep10(2024)207 · Cited by 27
Metadata
- Authors
- Ponsot, B., & Teschner, J.
- Venue
- Communications in Mathematical Physics
- Published
- 2001-12
- Volume
- 224
- Issue
- 3
- Pages
- 613-655
- ISSN
- 0010-3616 (ISSN-L)
- OpenAlex
- W1996229825
- Cited by
- 253
- References
- 6
- FWCI
- 14.42
- Type
- journal article
- Language
- en
- Open access
- green
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
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
