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

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.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-26
DOI
https://doi.org/10.48550/arxiv.2610.35050
Primary Topic
Algebraic structures and combinatorial models
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

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

A. N. Sergeev
arXiv (Cornell University)
Algebraic structures and combinatorial models
preprint

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

A. N. Sergeev
preprint en

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.

arXiv (Cornell University)
Algebraic structures and combinatorial models
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon
On characters of irreducible modules for Lie superalgebra q(n) — A. N. Sergeev · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS