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

A. N. Sergeev

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arXiv · 2610.35050

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

A. N. Sergeev

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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.

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A. N. Sergeev. 2026-10-26. On characters of irreducible modules for Lie superalgebra q(n). https://arxiv.org/abs/2610.35050

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