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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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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