Poset structure of torus-invariant prime spectra of CGL extensions

Details Poset structure of torus-invariant prime spectra of CGL extensions Poset structure of torus-invariant prime spectra of CGL extensions

2012-03-13

arxiv.org/abs/1203.2684v1

Mathematics

Quantum Algebra

26 pages

Scientific paper

A key theorem of Yakimov's proves that the torus-invariant prime spectra of De Concini-Kac-Procesi algebras are isomorphic as partially ordered sets to corresponding Bruhat order intervals of Weyl groups. We present examples of more general Cauchon-Goodearl-Letzter (CGL) extensions which exhibit this same phenomenon. To accomplish this, we develop a procedure for iteratively constructing poset isomorphisms between torus-invariant prime spectra of CGL extensions and Bruhat order intervals of Coxeter groups.

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