On tensor products of irreducible integrable representations

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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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
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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