Drinfeld Realization for quantum affine superalgebras of type $B$
Luan Bezerra, Vyacheslav Futorny, Iryna Kashuba
TL;DR
This paper introduces a Drinfeld realization of quantum affine superalgebras of type B, establishing a homomorphic relationship and defining a braid group action, advancing the algebraic understanding of these structures.
Contribution
It presents a new Drinfeld realization for quantum affine superalgebras of type B and explores their symmetries via braid group actions.
Findings
Quantum superalgebra in Drinfeld realization introduced
Homomorphic image of quantum affine superalgebra of type B established
Braid group action defined for any parity choice
Abstract
We introduce a certain quantum superalgebra in the Drinfeld realization and show that the quantum affine superalgebra of type is its homomorphic image (conjecturally isomorphic). We also define a braid group action on quantum affine superalgebra for any choice of parity.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras