99 citations · 940 across the 36 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.QA2021
On pentagon identity in Ding-Iohara-Miki algebra
Yegor Zenkevich
We notice that the famous pentagon identity for quantum dilogarithm functions and the five-term relation for certain operators related to Macdonald polynomials discovered by Garsia…
hep-th2021★ 7 cited
Irreducible representations of simple Lie algebras by differential operators
A. Morozov, M. Reva, N. Tselousov +1
We describe a systematic method to construct arbitrary highest-weight modules, including arbitrary finite-dimensional representations, for any finite dimensional simple Lie algebra…
hep-th2021★ 21 cited
Duality in elliptic Ruijsenaars system and elliptic symmetric functions
A. Mironov, A. Morozov, Y. Zenkevich
We demonstrate that the symmetric elliptic polynomials originally discovered in the study of generalized Noumi-Shiraishi functions are eigenfunctions of the elliptic Ruijs…