A classification of H-primes of quantum partial flag varieties
Quantum Algebra
2009-10-07 v1 Combinatorics
Rings and Algebras
Abstract
We classify the invariant prime ideals of a quantum partial flag variety under the action of the related maximal torus. As a result we construct a bijection between them and the torus orbits of symplectic leaves of the standard Poisson structure on the corresponding flag variety. It was previously shown by K. Goodearl and the author that the latter are precisely the Lusztig strata of the partial flag variety.
Keywords
Cite
@article{arxiv.0910.0997,
title = {A classification of H-primes of quantum partial flag varieties},
author = {Milen Yakimov},
journal= {arXiv preprint arXiv:0910.0997},
year = {2009}
}
Comments
14 pages, AMSLatex. to appear in Proc. AMS