On quantum toroidal algebra of type $A_1$

Published 25 Jun 2020 in math.QA | (2006.14558v1)

Abstract: In this paper we introduce a new quantum algebra which specializes to the $2$-toroidal Lie algebra of type $A_1$. We prove that this quantum toroidal algebra has a natural triangular decomposition, a (topological) Hopf algebra structure and a vertex operator realization.

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