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On models of irreducible p,q-representations of gl(2) and p,q-Mellin integral transformation

✍ Scribed by Vivek Sahai; Sarasvati Yadav

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
138 KB
Volume
284
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We construct new two variable models of the irreducible p, q‐representations of the four dimensional complex Lie algebra gl(2). These models are formed in terms of p, q ‐derivative operator and dilation operators. The p, q‐Mellin integral transformation is defined and is used to transform these models in the form of p, q‐difference dilation models. All the models culminate in many special function identities and recurrence relations. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

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