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Transactions of the Moscow Mathematical Society

ISSN 1547-738X(online) ISSN 0077-1554(print)

 

 

Coisotropic representations of reductive groups


Author: I. V. Losev
Translated by: O. Khleborodova
Original publication: Trudy Moskovskogo Matematicheskogo Obshchestva, tom 66 (2005).
Journal: Trans. Moscow Math. Soc. 2005, 143-168
MSC (2000): Primary 20C15
DOI: https://doi.org/10.1090/S0077-1554-05-00152-4
Published electronically: November 16, 2005
MathSciNet review: 2193432
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Abstract: A symplectic action $ G:X$ of an algebraic group $ S$ on a symplectic algebraic variety $ X$ is called coisotropic if a generic orbit of this action is a coisotropic submanifold of $ X$. In this article a classification of coisotropic symplectic linear actions $ G:V$ is given in the case where $ G$ is a reductive group.


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Additional Information

I. V. Losev
Affiliation: 2nd Bagration Per. 19–706, Minsk 220037, Belarus
Email: ivanlosev@yandex.ru

DOI: https://doi.org/10.1090/S0077-1554-05-00152-4
Published electronically: November 16, 2005
Article copyright: © Copyright 2005 American Mathematical Society