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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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Coisotropic and polar actions on complex Grassmannians
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by Leonardo Biliotti and Anna Gori PDF
Trans. Amer. Math. Soc. 357 (2005), 1731-1751 Request permission

Abstract:

The main result of the paper is the complete classification of the compact connected Lie groups acting coisotropically on complex Grassmannians. This is used to determine the polar actions on the same manifolds.
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Additional Information
  • Leonardo Biliotti
  • Affiliation: Dipartimento di Matematica e Applicazioni per l’Architettura, Università di Firenze, Piazza Ghiberti 27, 50142 Firenze, Italy
  • MR Author ID: 673388
  • Email: biliotti@math.unifi.it
  • Anna Gori
  • Affiliation: Dipartimento di Matematica e Applicazioni per l’Architettura, Università di Firenze, Piazza Ghiberti 27, 50142 Firenze, Italy
  • Email: gori@math.unifi.it
  • Received by editor(s): April 29, 2003
  • Published electronically: December 22, 2004
  • © Copyright 2004 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 357 (2005), 1731-1751
  • MSC (2000): Primary 53C55, 57S15
  • DOI: https://doi.org/10.1090/S0002-9947-04-03714-6
  • MathSciNet review: 2115074