Knop F (2007)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2007
Publisher: Elsevier
Book Volume: 313
Pages Range: 223-251
Journal Issue: 1
DOI: 10.1016/j.jalgebra.2006.10.041
We study invariants on symplectic representations of a connected reductive group. Our main result is that the invariant moment map is equidimensional. We deduce that the categorical quotient is a fibration over an affine space with rational generic fibers. Of particular interest are representations where these fibers are points. We show that they are cofree. Our main tool is a symplectic version of the local structure theorem. (c) 2007 Elsevier Inc. All rights reserved.
APA:
Knop, F. (2007). Invariant functions on symplectic representations. Journal of Algebra, 313(1), 223-251. https://dx.doi.org/10.1016/j.jalgebra.2006.10.041
MLA:
Knop, Friedrich. "Invariant functions on symplectic representations." Journal of Algebra 313.1 (2007): 223-251.
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