An algebraic interpretation of the multivariate q-Krawtchouk polynomials
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11139_2016_Article_9776.pdf
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Author(s)
Post, Sarah
Vinet, Luc
Genest, Vincent
Date Issued
March 2016
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s11139-016-9776-2
