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From quantum loop superalgebras to super Yangians.
- Source :
-
Journal of Algebra . Jul2024, Vol. 650, p299-334. 36p. - Publication Year :
- 2024
-
Abstract
- The goal of this paper is to generalize a statement by Drinfeld, asserting that Yangians can be constructed as limit forms of the quantum loop algebras, to the super case. We establish a connection between quantum loop superalgebra and super Yangian of the general linear Lie superalgebra gl M | N in RTT type presentation. In particular, we derive the Poincaré-Birkhoff-Witt(PBW) theorem for the quantum loop superalgebra U q (Lgl M | N). Additionally, we investigate the application of the same argument to twisted super Yangian of the ortho-symplectic Lie superalgebra. For this purpose, we introduce the twisted quantum loop superalgebra as a one-sided coideal of U q (Lgl M | 2 n) with respect to the comultiplication. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*SUPERALGEBRAS
*LIE superalgebras
*ARGUMENT
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 650
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 177110001
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2024.03.028