Work

On characters of irreducible modules for Lie superalgebra q(n)

Year: 2026
Type: preprint
Abstract: Su and Zhang proved a formula for the decomposition of characters of irreducible finite dimensional modules over Lie superalgebra $\frak q(n)$ as the sum of Euler characters. They gave a combinatorial formula for the coefficients in that decomposition by generalasing of weights and caps diagrams introduced by J. Brundan and C. Ctroppel. In the present paper we give a correct version of their combinatorial formula. Our main technical tool is a family of creation operators.
Language: English
Open Access status: green
OpenAlex ID: W7223874903
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