A q-Morris constant term identity for the Lie algebra A_n and its symmetric function generalizations

2023/03/12 by Zhou, Yue
#05A30 #05E05 #33D70 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2303.06538

Abstract

It is well-known that the Selberg integral is equivalent to the Morris constant term identity. In 2009 Warnaar obtained the Selberg integral for the Lie algebra A_n. In this paper, from the point view of constant term identities, we obtain a q-Morris constant term identity of type A_n and its several symmetric function generalizations. The type A_n q-Morris identity looks as if a constant term version of Warnaar's A_n Selberg integral to some extend.

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