The natural representation of the stabilizer of four subspaces
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- by Jozsef Horvath and Roger Howe PDF
- Trans. Amer. Math. Soc. 352 (2000), 5795-5815 Request permission
Abstract:
Consider the natural action of the general linear group $GL(V)$ on the product of four Grassmann varieties of the vector space $V$. In General linear group action on four Grassmannians we gave an algorithm to construct the generic stabilizer $H$ of this action. In this paper we investigate the structure of $V$ as an $H$-module, and we show the effectiveness of the methods developed there, by applying them to the explicit description of $H$.References
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Additional Information
- Jozsef Horvath
- Affiliation: Department of Mathematics, West Chester University, West Chester, Pennsylvania 19383
- Roger Howe
- Affiliation: Department of Mathematics, Yale University, 10 Hillhouse Avenue, New Haven, Connecticut 06520-8283
- MR Author ID: 88860
- ORCID: 0000-0002-5788-0972
- Received by editor(s): June 21, 1996
- Published electronically: August 3, 2000
- Additional Notes: Research partially supported by NSF grant DMS-9224358
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 352 (2000), 5795-5815
- MSC (1991): Primary 20G05; Secondary 14L30, 15A69, 16G20
- DOI: https://doi.org/10.1090/S0002-9947-00-01959-0
- MathSciNet review: 1422608