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Non-symmetric basic hypergeometric polynomials and representation theory for confluent Cherednik algebras

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posted on 2015-04-13, 12:41 authored by Marta Mazzocco
In 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 APPLICATIONS

Volume

10

Pages

? - ? (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 Author

Version

  • 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

2014

Notes

This article was originally published in the journal SIGMA and is made available under a CC-BY-NC-SA 4.0 licence.

ISSN

1815-0659

Language

  • en

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