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Unique Factorization for Tensor Products of Parabolic Verma Modules

Raghavan, KN and Kumar, VS and Venkatesh, R and Viswanath, S (2024) Unique Factorization for Tensor Products of Parabolic Verma Modules. In: Algebras and Representation Theory .

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Official URL: https://doi.org/10.1007/s10468-024-10254-0

Abstract

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 generally, we prove unique factorization for products of characters of parabolic Verma modules when restricted to certain subalgebras of h . These include fixed point subalgebras of h under subgroups of diagram automorphisms of g and twisted graph automorphisms in the affine case. © 2024, The Author(s), under exclusive licence to Springer Nature B.V.

Item Type: Journal Article
Publication: Algebras and Representation Theory
Publisher: Springer Science and Business Media B.V.
Additional Information: The copyright for this article belongs to Author.
Keywords: Tensors, Diagram automorphisms; Fixed points; Graph automorphisms; Kac-moody lie algebras; Parabolic verma module; Parabolics; Property; Subalgebras; Tensor products; Unique factorization, Factorization
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 01 Mar 2024 10:50
Last Modified: 01 Mar 2024 10:50
URI: https://eprints.iisc.ac.in/id/eprint/84190

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