PreprintCC BY 4.0arXiv
On characters of irreducible modules for Lie superalgebra q(n)
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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BibTeX
@misc{sergeev2026characters,
title = {{On characters of irreducible modules for Lie superalgebra q(n)}},
author = {A. N. Sergeev},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.35050},
eprint = {2610.35050},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.35050},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On characters of irreducible modules for Lie superalgebra q(n)
AU - A. N. Sergeev
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.35050
UR - https://arxiv.org/abs/2610.35050
AB - 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.
ER -