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math.QA2020
Quantized nilradicals of parabolic subalgebras of and algebras of coinvariants
Andrew Jaramillo, Garrett Johnson
Let be the standard parabolic subgroup of obtained by deleting a subset of negative simple roots, and let be the standard Levi decomposition. Follow…
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.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…