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arXiv · 2307.05625

Crystal bases of parabolic Verma modules over the quantum orthosymplectic superalgebras

Il-Seung Jang·Jae-Hoon Kwon·Akito Uruno
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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.

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Il-Seung Jang, Jae-Hoon Kwon, Akito Uruno. 2023-07-11. Crystal bases of parabolic Verma modules over the quantum orthosymplectic superalgebras. https://doi.org/10.1016/j.jalgebra.2024.01.005

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