12 citations · 54 across the 23 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.RT2018
Shifted quantum affine algebras: integral forms in type (with appendices by Alexander Tsymbaliuk and Alex Weekes)
Michael Finkelberg, Alexander Tsymbaliuk
We define an integral form of shifted quantum affine algebras of type and construct Poincaré-Birkhoff-Witt-Drinfeld bases for them. When the shift is trivial, our integral form…
math.RT2018
PBWD bases and shuffle algebra realizations for and their integral forms
Alexander Tsymbaliuk
We construct a family of PBWD (Poincaré-Birkhoff-Witt-Drinfeld) bases for the quantum loop algebras …
math.RT2018
On Sevostyanov's construction of quantum difference Toda lattices
Roman Gonin, Alexander Tsymbaliuk
We propose a natural generalization of the construction of the quantum difference Toda lattice (introduced independently by Etingof and Sevostyanov) associated to a simple Lie alge…