Double Yangian and reflection algebras of the Lie superalgebra 𝔤𝔩m|n
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Published:2024-04-13
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Volume:
Page:
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ISSN:0219-1997
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Container-title:Communications in Contemporary Mathematics
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language:en
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Short-container-title:Commun. Contemp. Math.
Author:
Bagnoli Lucia1ORCID,
Kožić Slaven1ORCID
Affiliation:
1. Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička cesta 30, 10 000 Zagreb, Croatia
Abstract
We study the double Yangian associated with the Lie superalgebra [Formula: see text]. Our main focus is on establishing the Poincaré–Birkhoff–Witt Theorem for the double Yangian and constructing its central elements in the form of coefficients of the quantum contraction. Next, as an application, we introduce reflection algebras, certain left coideal subalgebras of the level 0 double Yangian, and find their presentations by generators and relations.
Funder
Croatian Science Foundation
European Union, European Regional Development Fund
Publisher
World Scientific Pub Co Pte Ltd