An algebraic interpretation of the multivariate q-Krawtchouk polynomials

作者：Genest Vincent X^*; Post Sarah; Vinet Luc

来源：Ramanujan Journal, 2017, 43(2): 415-445.

DOI：10.1007/s11139-016-9776-2

• Multivariate q-Krawtchouk polynomials
• q-Oscillator algebra
• q-Rotations

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.

• 出版日期2017-6
• 单位MIT