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Crystal bases of parabolic Verma modules over the quantum orthosymplectic superalgebras.

Authors :
Jang, Il-Seung
Kwon, Jae-Hoon
Uruno, Akito
Source :
Journal of Algebra. Oct2024, Vol. 655, p537-585. 49p.
Publication Year :
2024

Abstract

We show that there exists a unique crystal base of a parabolic Verma module over a quantum orthosymplectic superalgebra, which is induced from a q -analogue of a polynomial representation of a general linear Lie superalgebra. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00218693
Volume :
655
Database :
Academic Search Index
Journal :
Journal of Algebra
Publication Type :
Academic Journal
Accession number :
177880761
Full Text :
https://doi.org/10.1016/j.jalgebra.2024.01.005