Non-symmetric basic hypergeometric polynomials and representation theory for confluent Cherednik algebras
journal contribution
posted on 2015-04-13, 12:41 authored by Marta MazzoccoIn this paper we introduce a basic representation for the confluent Cherednik
algebras HV, HIII, HD7
III and HD8
III defined in arXiv:1307.6140. To prove faithfulness of this
basic representation, we introduce the non-symmetric versions of the continuous dual q-
Hahn, Al-Salam{Chihara, continuous big q-Hermite and continuous q-Hermite polynomials.
History
School
- Science
Department
- Mathematical Sciences
Published in
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONSVolume
10Pages
? - ? (10)Citation
MAZZOCCO, M., 2014. Non-symmetric basic hypergeometric polynomials and representation theory for confluent Cherednik algebras. Symmetry, Integrability and Geometry : Methods and Applications (SIGMA), 10, 116.Publisher
National Academy of Science of Ukraine / © The AuthorVersion
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by-nc-sa/4.0/Publication date
2014Notes
This article was originally published in the journal SIGMA and is made available under a CC-BY-NC-SA 4.0 licence.ISSN
1815-0659Publisher version
Language
- en
