Combinatorial invariants of algebraic Hamiltonian actions
Algebraic Geometry
2009-05-30 v2 Representation Theory
Symplectic Geometry
Abstract
To any Hamiltonian action of a reductive algebraic group on a smooth irreducible symplectic variety we associate certain combinatorial invariants: Cartan space, Weyl group, weight and root lattices. For cotangent bundles our invariants essentially coincide with those arising in the theory of equivarant embeddings. Using our approach we establish some properties of the latter invariants.
Cite
@article{arxiv.math/0701823,
title = {Combinatorial invariants of algebraic Hamiltonian actions},
author = {Ivan V. Losev},
journal= {arXiv preprint arXiv:math/0701823},
year = {2009}
}
Comments
23 pages, v2 Propositions 7.16,8.8 strengthened, some auxiliary statements modified, some comments on previously obtained results added