58 citations · 319 across the 55 of their papers we have counts for
6 papers · 1 filter
A Dixmier-Moeglin equivalence for Poisson algebras with torus actions
K. R. Goodearl
A Poisson analog of the Dixmier-Moeglin equivalence is established for any affine Poisson algebra on which an algebraic torus acts rationally, by Poisson automorphisms, suc…
Poisson structures on affine spaces and flag varieties. II. General case
K. R. Goodearl, M. Yakimov
The standard Poisson structures on the flag varieties G/P of a complex reductive algebraic group G are investigated. It is shown that the orbits of symplectic leaves in G/P under a…
Homological properties of quantized coordinate rings of semisimple groups
K. R. Goodearl, J. J. Zhang
We prove that the generic quantized coordinate ring is Auslander-regular, Cohen-Macaulay, and catenary for every connected semisimple Lie group . This answers…
The Closed-Point Zariski Topology for Irreducible Representations
K. R. Goodearl, E. S. Letzter
In previous work, the second author introduced a topology, for spaces of irreducible representations, that reduces to the classical Zariski topology over commutative rings but prov…
Commutation relations for arbitrary quantum minors
K. R. Goodearl
Complete sets of commutation relations for arbitrary pairs of quantum minors are computed, with explicit coefficients in closed form.
Poisson structures on affine spaces and flag varieties. I. Matrix affine Poisson space
K. A. Brown, K. R. Goodearl, M. Yakimov
The standard Poisson structure on the rectangular matrix variety M_{m,n}(C) is investigated, via the orbits of symplectic leaves under the action of the maximal torus T of GL_{m+n}…