Reif, S and Venkatesh, R (2022) On tensor products of irreducible integrable representations. In: Journal of Algebra, 592 . pp. 402-423.
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Official URL: https://doi.org/10.1016/j.jalgebra.2021.11.007
Abstract
We consider integrable category O representations of Borcherds�Kac�Moody algebras whose Cartan matrix is finite dimensional, and determine the necessary and sufficient conditions for which the tensor product of irreducible representations from this category is isomorphic to another. This result generalizes a fundamental result of C. S. Rajan on unique factorization of tensor products of finite dimensional irreducible representations of finite dimensional simple Lie algebras over complex numbers. © 2021
Item Type: | Journal Article |
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Publication: | Journal of Algebra |
Publisher: | Academic Press Inc. |
Additional Information: | The copyright for this article belongs to Author |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 31 Dec 2021 07:02 |
Last Modified: | 31 Dec 2021 07:02 |
URI: | http://eprints.iisc.ac.in/id/eprint/70660 |
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