Yusuke Ohkubo
Published 2017-06-07Version 1
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).
Comments: Based on Chapter 3 in arXiv:1703.10990. Theorem 4.4 is generalized. 24 pages, 3 figures
Singular Vector of Ding-Iohara-Miki Algebra and Hall-Littlewood Limit of 5D AGT Conjecture
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On the representation of $A_{\kk}(2)$ algebra and $A_{\kk}(d)$ algebra
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