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@article{faucris.121213884,
abstract = {Let G be a connected reductive group acting on a finite-dimensional vector space V. Assume that V is equipped with a G-invariant symplectic form. Then the ring O(V) of polynomial functions becomes a Poisson algebra. The ring O(V)(G) of invariants is a sub-Poisson algebra. We call V multiplicity free if O(V)(G) is Poisson commutative, i.e., if {f, g} = 0 for all invariants f and g. Alternatively, G also acts on the Weyl algebra W(V) and V is multiplicity free if and only if the subalgebra W(V)(G) of invariants is commutative. In this paper we classify all multiplicity free symplectic representations. (c) 2005 Elsevier Inc. All rights reserved.},
author = {Knop, Friedrich},
doi = {10.1016/j.jalgebra.2005.07.035},
faupublication = {no},
journal = {Journal of Algebra},
pages = {531-553},
peerreviewed = {Yes},
title = {{Classification} of multiplicity free symplectic representations},
volume = {301},
year = {2006}
}