A classification of 𝐻-primes of quantum partial flag varieties

Yakimov, Milen

doi:10.1090/S0002-9939-09-10180-6

A classification of $H$-primes of quantum partial flag varieties
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Proc. Amer. Math. Soc. 138 (2010), 1249-1261 Request permission

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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