Extensions of the well-poised and elliptic well-poised Bailey lemma

By S. Ole Warnaar. 2003

56 citations recorded by the source corpus.

It is shown that a dynamical quantum group arising from a vertex-IRF transformation has a second realization with untwisted dynamical multiplication but nontrivial bigrading. Applied to the SL 2; Image ) dynamical quantum group, the second realization is naturally described in terms of Koornwinder's twisted primitive elements. This leads to an intrinsic explanation why harmonic analysis on the “classical” SL(2; Image ) quantum group with respect to twisted primitive elements, as initiated by Koornwinder, is the same as harmonic analysis on the SL(2; C) dynamical quantum group.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/c803aded5887c0f84c1d54a2fa69cbfbb470834f

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In Discrete Mathematics and Combinatorics

1. V. Spiridonov
2. S. Ole Warnaar
3. Jeremy Lovejoy
4. Hjalmar Rosengren

In Geometry and Topology

1. V. Spiridonov
2. S. Ole Warnaar
3. G. Vartanov
4. Abhijit Gadde
5. Shlomo S. Razamat
6. L. Rastelli
7. Wenbin Yan
8. Y. Imamura

Citations in the corpus

• Inversions of integral operators and elliptic beta integrals on root systems (2004, background): “At the level of hypergeometric series — ordinary, basic or elliptic — the Bailey pair machinery allows for the derivation of infinite sequences of symmetry transformations [1, 2, 23, 27, 29].”
• Essays on the theory of elliptic hypergeometric functions (2008, methodology): “This technique was generalized to the elliptic level in [52, 67].”