98 citations · 277 across the 12 of their papers we have counts for
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Direct Sum Structure of the Super Virasoro Algebra and a Fermion Algebra Arising from the Quantum Toroidal
Yusuke Ohkubo
It is known that the -deformed Virasoro algebra can be constructed from a certain representation of the quantum toroidal algebra. In this paper, we apply the s…
Branching Formula for -Toda Function of Type B
Ayumu Hoshino, Yusuke Ohkubo, Jun'ichi Shiraishi
We present a proof of the explicit formula for the asymptotically free eigenfunctions of the -Toda operator which was conjectured by the first and third authors. This form…
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…
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…