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arXiv 1811.02065math-phmath.MP
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$SU_q(3)$协表示与二元$q$ -Krawtchouk多项式

$SU_q(3)$ corepresentations and bivariate $q$-Krawtchouk polynomials

Geoffroy Bergeron, Erik Koelink, Luc Vinet

摘要:

酉$SU_q(3)$余表示的矩阵元是二元$q$ -Krawtchouk正交多项式,它是自然表示的对称幂的类似物,从而提供了这些多项式在量子群方面的代数解释.

英文摘要:

The matrix elements of unitary $SU_q(3)$ corepresentations, which are analogues of the symmetric powers of the natural repesentation, are shown to be the bivariate $q$-Krawtchouk orthogonal polynomials, thus providing an algebraic interpretation of these polynomials in terms of quantum groups.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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