An algebraic interpretation of the multivariate q-Krawtchouk polynomials

Author(s)
Post, Sarah; Vinet, Luc; Genest, Vincent
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Abstract
The multivariate quantum q-Krawtchouk polynomials are shown to arise as matrix elements of “q-rotations” acting on the state vectors of many q-oscillators. The focus is put on the two-variable case. The algebraic interpretation is used to derive the main properties of the polynomials: orthogonality, duality, structure relations, difference equations, and recurrence relations. The extension to an arbitrary number of variables is presented.
Date issued
2016-03
URI
http://hdl.handle.net/1721.1/104790
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
The Ramanujan Journal
Publisher
Springer US
Citation
Genest, Vincent X., Sarah Post, and Luc Vinet. “An Algebraic Interpretation of the Multivariate Q-Krawtchouk Polynomials.” The Ramanujan Journal (2016): n. pag.
Version: Author's final manuscript
ISSN
1382-4090
1572-9303
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