Kac determinant and singular vector of the level N representation of Ding-Iohara-Miki algebra

Published 7 Jun 2017 in math-ph, hep-th, math.MP, and math.QA | (1706.02243v1)

Abstract: In this paper, we obtain the formula for the Kac determinant of the algebra arising from the level $N$ representation of the Ding-Iohara-Miki algebra. It is also discovered that its singular vectors correspond to generalized Macdonald functions (the q-deformed version of the AFLT basis).

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Authors (1)

Yusuke Ohkubo

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