7 citations · 14 across the 11 of their papers we have counts for
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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…
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}…
Quantized coinvariants at transcendental q
K R Goodearl, T H Lenagan
A general method is developed for deriving Quantum First and Second Fundamental Theorems of Coinvariant Theory from classical analogs in Invariant Theory, in the case that the quan…
Quantized coordinate rings and related noetherian algebras
K. R. Goodearl
This paper contains a survey of some ring-theoretic aspects of quantized coordinate rings, with primary focus on the prime and primitive spectra. For these algebras, the overall st…
Winding-invariant prime ideals in quantum matrices
K. R. Goodearl, T. H. Lenagan
A complete determination of the prime ideals invariant under winding automorphisms in the generic 3 by 3 quantum matrix algebra is obtained. Explicit generating sets consisting of…