Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

A classification of -primes of quantum partial flag varieties

Author(s): Milen Yakimov
Journal: Proc. Amer. Math. Soc. 138 (2010), 1249-1261.
MSC (2010): Primary 16W50; Secondary 20G42, 14M15
Posted: December 2, 2009
MathSciNet review: 2578519
Retrieve article in: PDF

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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.

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