On tensor products of representations of Lie superalgebras

A Das, S Pattanayak - arXiv preprint arXiv:2404.00266, 2024 - arxiv.org
We consider typical finite dimensional complex irreducible representations of a basic
classical simple Lie superalgebra, and give a sufficient condition on when unique …

Unique Factorization for Tensor Products of Parabolic Verma Modules

KN Raghavan, VS Kumar, R Venkatesh… - Algebras and …, 2024 - Springer
Let g be a symmetrizable Kac-Moody Lie algebra with Cartan subalgebra h. We prove a
unique factorization property for tensor products of parabolic Verma modules. More …

[PDF][PDF] On factorization results for tensor products and twisted characters

VS Kumar - 2024 - imsc.res.in
1. Let An⇥ n be a symmetrizable generalized Cartan matrix (GCM) and let g be the
associated symmetrizable Kac-Moody Lie algebra with a fixed Cartan subalgebra h …