3 papers
math.QA2020
Non-Stationary Ruijsenaars Functions for and Intertwining Operators of Ding-Iohara-Miki Algebra
Masayuki Fukuda, Yusuke Ohkubo, Jun'ichi Shiraishi
We construct the non-stationary Ruijsenaars functions (affine analogue of the Macdonald functions) in the special case , using the intertwining operators of the Ding-Io…
math.QA2019
Generalized Macdonald Functions on Fock Tensor Spaces and Duality Formula for Changing Preferred Direction
Masayuki Fukuda, Yusuke Ohkubo, Jun'ichi Shiraishi
An explicit formula is obtained for the generalized Macdonald functions on the -fold Fock tensor spaces, calculating a certain matrix element of a composition of several screene…
math-ph2017
Singular Vector of Ding-Iohara-Miki Algebra and Hall-Littlewood Limit of 5D AGT Conjecture
Yusuke Ohkubo
In this thesis, we obtain the formula for the Kac determinant of the algebra arising from the level representation of the Ding-Iohara-Miki algebra. This formula can be proved b…