PreprintCC BY 4.0arXiv
Highest weight vectors in queer Howe duality
Abstract
We use Gauss decomposition to study the singular vectors in the regular representation on the coordinate superalgebra of the big cell of the queer supergroup. This gives explicit bases for the highest weight spaces in queer Howe duality. As an application, the same method recovers the explicit highest weight vectors in the general linear case obtained by Cheng and Wang.
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BibTeX
@misc{bi2026highest,
title = {{Highest weight vectors in queer Howe duality}},
author = {Minghao Bi and Hongjia Chen and Longhui Wang and Yongjie Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.36939},
eprint = {2610.36939},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.36939},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Highest weight vectors in queer Howe duality
AU - Minghao Bi
AU - Hongjia Chen
AU - Longhui Wang
AU - Yongjie Wang
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.36939
UR - https://arxiv.org/abs/2610.36939
AB - We use Gauss decomposition to study the singular vectors in the regular representation on the coordinate superalgebra of the big cell of the queer supergroup. This gives explicit bases for the highest weight spaces in queer Howe duality. As an application, the same method recovers the explicit highest weight vectors in the general linear case obtained by Cheng and Wang.
ER -