Coisotropic representations of reductive groups

Losev, I.

doi:10.1090/S0077-1554-05-00152-4

Coisotropic representations of reductive groups
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by I. V. Losev
Translated by: O. Khleborodova

Trans. Moscow Math. Soc. 2005, 143-168

DOI: https://doi.org/10.1090/S0077-1554-05-00152-4

Published electronically: 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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