3 papers
math.QA2021
Twisted Fock module of toroidal algebra via DAHA and vertex operators
Mikhail Bershtein, Roman Gonin
We construct the twisted Fock module of quantum toroidal algebra with a slope using vertex operators of quantum affine . The proof is base…
math.QA2020
Twisted and Non-Twisted Deformed Virasoro Algebra via Vertex Operators of
Mikhail Bershtein, Roman Gonin
The work is devoted to a probably new connection between deformed Virasoro algebra and quantum . We give an explicit realization of Virasoro current via…
math.RT2019
Twisted Representations of Algebra of -Difference Operators, Twisted - Algebras and Conformal Blocks
Mikhail Bershtein, Roman Gonin
We study certain representations of quantum toroidal algebra for . We construct explicit bosonization of the Fock modules with a non…