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math.QA2012
Quantum Affine Schubert Cells and FRT-Bialgebras: The E_6^{(1)} Case
Garrett Johnson, Christopher Nowlin
De Concini, Kac, and Procesi defined a family of subalgebras Uq[w] of the quantized enveloping algebra Uq(g) associated to elements w in the Weyl group of a simple Lie algebra g. T…
math.QA2012
Poset structure of torus-invariant prime spectra of CGL extensions
Christopher Nowlin
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 i…
math.QA2011
The FRT-Construction via Quantum Affine Algebras and Smash Products
Garrett Johnson, Chris Nowlin
For every element w in the Weyl group of a simple Lie algebra g, De Concini, Kac, and Procesi defined a subalgebra U_q^w of the quantized universal enveloping algebra U_q(g). The a…