Roman Gonin

activity

20182024

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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 $gl_{1}$ algebra with a slope $n^{'} / n$ using vertex operators of quantum affine $gl_{n}$ . The proof is base…

math.QA2020

Twisted and Non-Twisted Deformed Virasoro Algebra via Vertex Operators of $U_{q} (sl_{2})$

Mikhail Bershtein, Roman Gonin

The work is devoted to a probably new connection between deformed Virasoro algebra and quantum $sl_{2}$ . We give an explicit realization of Virasoro current via…

Twisted Fock module of toroidal algebra via DAHA and vertex operators

Twisted and Non-Twisted Deformed Virasoro Algebra via Vertex Operators of Uq​(sl2​)

Twisted and Non-Twisted Deformed Virasoro Algebra via Vertex Operators of $U_{q} (sl_{2})$