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Title: Non-symmetric basic hypergeometric polynomials and representation theory for confluent Cherednik algebras
Authors: Mazzocco, Marta
Keywords: DAHA
Cherednik algebra
q-Askey scheme
Askey-Wilson polynomials
Issue Date: 2014
Publisher: National Academy of Science of Ukraine / © The Author
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.
Abstract: 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.
Description: This article was originally published in the journal SIGMA and is made available under a CC-BY-NC-SA 4.0 licence.
Version: Published
DOI: 10.3842/SIGMA.2014.116
URI: https://dspace.lboro.ac.uk/2134/17245
Publisher Link: http://dx.doi.org/10.3842/SIGMA.2014.116
ISSN: 1815-0659
Appears in Collections:Published Articles (Maths)

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