Work

Highest weight vectors in queer Howe duality

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.36939

Authors: Bi, Minghao, Chen, Hongjia, Wang, Longhui, Wang, Yongjie

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Natural Science Foundation of Anhui Province, Fundamental Research Funds for the Central Universities

Awards: G4316368002, G680808290, G7087438578, G7535751277

OpenAlex ID: W7224089954

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