7 citations · 14 across the 11 of their papers we have counts for
22 papers
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…
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}…
Semilattices of groups and inductive limits of Cuntz algebras
K. R. Goodearl, E. Pardo, F. Wehrung
We characterize, in terms of elementary properties, the abelian monoids which are direct limits of finite direct sums of monoids of the form (where 0 is a new z…
The complete dimension theory of partially ordered systems with equivalence and orthogonality
K. R. Goodearl, F. Wehrung
We develop dimension theory for a large class of structures called espaliers, consisting of a set equipped with a partial order , an orthogonality relation , and a…