A Determinantal Formula for Orthosymplectic Schur Functions

Kumari, N (2024) A Determinantal Formula for Orthosymplectic Schur Functions. In: Annals of Combinatorics .

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Abstract

We prove a new determinantal formula for the characters of irreducible representations of orthosymplectic Lie superalgebras analogous to the formula developed by Moens and Jeugt (J Algebraic Combin 17(3):283�307, 2003) for general linear Lie superalgebras. Our proof uses the Jacobi�Trudi type formulas for orthosymplectic characters. As a consequence, we show that the odd symplectic characters introduced by Proctor (Invent Math 92(2):307�332, 1988) are the same as the orthosymplectic characters with some specialized indeterminates. We also give a generalization of an odd symplectic character identity due to Brent, Krattenthaler and Warnaar (J Combin Theory Ser A 144:80�138, 2016). © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

Item Type:	Journal Article
Publication:	Annals of Combinatorics
Publisher:	Springer Nature
Additional Information:	The copyright for this article belongs to Springer Nature.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	14 Oct 2024 09:50
Last Modified:	14 Oct 2024 09:50
URI:	http://eprints.iisc.ac.in/id/eprint/86570

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