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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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 |
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| 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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