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Coisotropic representations of reductive groups

Author(s): 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
Posted: November 16, 2005
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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: 10.1090/S0077-1554-05-00152-4
PII: S 0077-1554(05)00152-4
Posted: November 16, 2005
Copyright of article: Copyright 2005, American Mathematical Society

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