Drinfeld Realization for quantum affine superalgebras of type $B$

Fuente: arXiv
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Main Authors: Bezerra, Luan, Futorny, Vyacheslav, Kashuba, Iryna
Format: Preprint
Published: 2024
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author Bezerra, Luan
Futorny, Vyacheslav
Kashuba, Iryna
author_facet Bezerra, Luan
Futorny, Vyacheslav
Kashuba, Iryna
contents We introduce a certain quantum superalgebra in the Drinfeld realization and show that the quantum affine superalgebra of type $B$ is its homomorphic image (conjecturally isomorphic). We also define a braid group action on quantum affine superalgebra for any choice of parity.
format Preprint
id arxiv_https___arxiv_org_abs_2405_05533
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Drinfeld Realization for quantum affine superalgebras of type $B$
Bezerra, Luan
Futorny, Vyacheslav
Kashuba, Iryna
Quantum Algebra
Representation Theory
17B67, 17B37
We introduce a certain quantum superalgebra in the Drinfeld realization and show that the quantum affine superalgebra of type $B$ is its homomorphic image (conjecturally isomorphic). We also define a braid group action on quantum affine superalgebra for any choice of parity.
title Drinfeld Realization for quantum affine superalgebras of type $B$
topic Quantum Algebra
Representation Theory
17B67, 17B37
url https://arxiv.org/abs/2405.05533