Strata of prime ideals of De Concini-Kac-Procesi algebras and Poisson geometry

Details Strata of prime ideals of De Concini-Kac-Procesi algebras and Poisson geometry Strata of prime ideals of De Concini-Kac-Procesi algebras and Poisson geometry

2011-03-17

arxiv.org/abs/1103.3451v3

Mathematics

Quantum Algebra

15 pages, AMS-Latex, v. 2 contains extended Sect. 4

Scientific paper

To each simple Lie algebra g and an element w of the corresponding Weyl group De Concini, Kac and Procesi associated a subalgebra U^w_- of the quantized universal enveloping algebra U_q(g), which is a deformation of the universal enveloping algebra U(n_- \cap w(n_+)) and a quantization of the coordinate ring of the Schubert cell corresponding to w. The torus invariant prime ideals of these algebras were classified by M\'eriaux and Cauchon [25], and the author [30]. These ideals were also explicitly described in [30]. They index the the Goodearl-Letzter strata of the stratification of the spectra of U^w_- into tori. In this paper we derive a formula for the dimensions of these strata and the transcendence degree of the field of rational Casimirs on any open Richardson variety with respect to the standard Poisson structure [15].

Affiliated with

Also associated with

No associations

Rating

Strata of prime ideals of De Concini-Kac-Procesi algebras and Poisson geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Strata of prime ideals of De Concini-Kac-Procesi algebras and Poisson geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Strata of prime ideals of De Concini-Kac-Procesi algebras and Poisson geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-248466