A classification of $H$-primes of quantum partial flag varieties
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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.References
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Additional Information
- Milen Yakimov
- Affiliation: Department of Mathematics, Louisiana State Univerity, Baton Rouge, Louisiana 70803 – and – Department of Mathematics, University of California, Santa Barbara, California 93106
- MR Author ID: 611410
- Email: yakimov@math.lsu.edu
- Received by editor(s): May 31, 2009
- Received by editor(s) in revised form: August 11, 2009, and August 27, 2009
- Published electronically: December 2, 2009
- Communicated by: Gail R. Letzter
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 1249-1261
- MSC (2010): Primary 16W50; Secondary 20G42, 14M15
- DOI: https://doi.org/10.1090/S0002-9939-09-10180-6
- MathSciNet review: 2578519