An algebraic interpretation of the multivariate q-Krawtchouk polynomials
Author(s)Post, Sarah; Vinet, Luc; Genest, Vincent
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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
The Ramanujan Journal
Genest, Vincent X., Sarah Post, and Luc Vinet. “An Algebraic Interpretation of the Multivariate Q-Krawtchouk Polynomials.” The Ramanujan Journal (2016): n. pag.
Author's final manuscript