English

Representations of Askey--Wilson algebra

Representation Theory 2017-07-04 v3 Quantum Algebra

Abstract

We deal with the classification problem of finite-dimensional representations of so called Askey--Wilson algebra in the case when qq is not a root of unity. We classify all representations satisfying certain property, which ensures diagonalizability of one of the generating elements.

Keywords

Cite

@article{arxiv.1702.08237,
  title  = {Representations of Askey--Wilson algebra},
  author = {Daniel Gromada and Severin Pošta},
  journal= {arXiv preprint arXiv:1702.08237},
  year   = {2017}
}

Comments

19 pages, opmac; revised after review in SIGMA

R2 v1 2026-06-22T18:29:17.189Z