1 citations · 1 across the 6 of their papers we have counts for
8 papers
On automorphisms of quantum Schubert cells
Garrett Johnson, Hayk Melikyan
Automorphisms of the quantum Schubert cell algebras of De Concini, Kac, Procesi and Lusztig and their restrictions to some key invariant subalgebras are stu…
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…
Subprime Solutions of the Classical Yang-Baxter Equation
Garrett Johnson
We introduce a new family of classical -matrices for the Lie algebra that lies in the Zariski boundary of the Belavin-Drinfeld space of quasi-tr…
Differential-Dunkl Operators and Nonstandard Solutions to the Classical Yang-Baxter Equation
Garrett Johnson
For every pair of positive coprime integers, m and n, with m<n, there is an associated generalized Cremmer-Gervais r-matrix r_{m,n} for the Lie algebra sl_n which provides a nonsta…
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…
Amalgamated Products of Ore and Quadratic Extensions of Rings
Garrett Johnson
We study the ideal theory of amalgamated products of Ore and quadratic extensions over a base ring R. We prove an analogue of the Hilbert Basis theorem for an amalgamated product Q…