6 citations · 8 across the 7 of their papers we have counts for
11 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…
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}…
Triangular Poisson structures on Lie groups and symplectic reduction
Timothy J. Hodges, Milen Yakimov
We show that each triangular Poisson Lie group can be decomposed into Poisson submanifolds each of which is a quotient of a symplectic manifold. The Marsden-Weinstein-Meyer symplec…
On a class of double cosets in reductive algebraic groups
Jiang-Hua Lu, Milen Yakimov
We study a class of double coset spaces R_A \backslash G_1 \times G_2 /R_C, where G_1 and G_2 are connected reductive algebraic groups, and R_A and R_C are certain spherical subgro…
The prolate spheroidal phenomena and bispectrality
F. Alberto Grünbaum, Milen Yakimov
Landau, Pollak, Slepian, and Tracy, Widom discovered that certain integral operators with so called Bessel and Airy kernels possess commuting differential operators and found impor…
Affine Jacquet functors and Harish-Chandra categories
Milen Yakimov
We define an affine Jacquet functor and use it to describe the structure of induced affine Harish-Chandra modules at noncritical levels, extending the theorem of Kac and Kazhdan [K…