B. Feigin

collaborators

2 papers

math.QA2026

Extensions of a commuting pair of quantum toroidal $gl_{1}$

B. Feigin, M. Jimbo, E. Mukhin

We introduce a family of algebras $A_{M, N}$ , $M, N \in Z$ , as an extension of a pair of commuting quantum toroidal $gl_{1}$ subalgebras $\mathcal{E}_1,\che…

math.QA2025

Affinization of shifted quantum affine $gl_{2}$

B. Feigin, M. Jimbo, E. Mukhin

We give a realization $A_{0}$ of quantum toroidal algebra associated to $gl_{2}$ which can be viewed as an affinization of the Drinfeld new realization of quantum…

Extensions of a commuting pair of quantum toroidal gl1​

Affinization of shifted quantum affine gl2​

Extensions of a commuting pair of quantum toroidal $gl_{1}$

Affinization of shifted quantum affine $gl_{2}$