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

Poset structure of torus-invariant prime spectra of CGL extensions