Highest weight vectors in queer Howe duality
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.
Authors
- Yongjie Wang (ORCID: https://orcid.org/0000-0002-1547-5661)
- Longhui Wang (ORCID: https://orcid.org/0000-0002-2485-9616)
- Hongjia Chen
- Minghao Bi
Publication Details
- Journal
- arXiv (Cornell University)
- Published
- 2026-10-27
- DOI
- https://doi.org/10.48550/arxiv.2610.36939
- Primary Topic
- Advanced Algebra and Geometry
- Type
- preprint