E. Mukhin

activity

20102025

gl_{\infty}

: Semi-infinite construction of representations

90 citations · 100 across the 5 of their papers we have counts for

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2 papers · 1 filter

math.QA2025

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 $gl_{2}$