Milen Yakimov 
Publications

Invariant prime ideals in
quantizations of nilpotent Lie algebras
,
pdf,
ps,
arXiv:0905.0852.

Cyclicity of Lusztig's stratification of Grassmannians
and Poisson geometry
pdf,
ps,
arXiv:0902.2181.

Completeness of determinantal Hamiltonian flows on the matrix
affine Poisson space
(with Michael Gekhtman),
pdf,
ps,
arXiv:0809.4650.

The real loci of CalogeroMoser spaces, representations
of rational Cherednik algebras and the Shapiro conjecture
(with Iain Gordon and Emil Horozov),
pdf,
ps,
arXiv:0711.4336.

Modular classes of regular twisted Poisson structures
on Lie algebroids
(with Yvette KosmannSchwarzbach),
Lett. Math. Phys. 80 (2007), 183197,
pdf,
ps,
math.SG/0701209.

Group orbits and regular partitions of Poisson manifolds
(with JiangHua Lu),
Comm. Math. Phys. 283 (2008), no. 3, 729748,
pdf,
ps,
math.SG/0609732.

A Deodhar type stratification on the double flag variety
(with Ben Webster),
Transformation Groups 12 (2007), no. 4, 769785,
pdf,
ps,
math.SG/0607374.

Partitions of the wonderful group compactification
(with JiangHua Lu),
Transformation Groups 12 (2007), no. 4, 695723,
pdf,
ps,
math.RT/0606579.

Spaces of flat Gconnections
over surfaces and symmetrically factorizable Poisson Lie groups
(with Rinat Kashaev and Nicolai Reshetikhin),
in preparation.

Poisson structures on
affine spaces and flag varieties. II.
(with K. R. Goodearl),
pdf,
ps.
math.QA/0509075,
to appear in Trans. AMS.

Poisson structures on
affine spaces and flag varieties. I.
Matrix affine Poisson space
(with K. A. Brown and K. R. Goodearl),
Adv. Math. 206 (2006), 567629,
pdf,
ps.
math.RT/0501109.

On a class of double cosets in reductive algebraic groups
(with JiangHua Lu),
pdf,
ps,
math.RT/0410006,
Int. Math. Res. Notices 2005, no. 13, pp. 761797.

The prolate spheroidal phenomenon and bispectral algebras
of ranks 1 and 2
(with Alberto Grunbaum), latest file
pdf,
ps.

Triangular Poisson structures on Lie groups and symplectic reduction
(with Tim Hodges),
pdf,
ps,
math.SG/0412082,
Noncommutative geometry and representation theory in mathematical
physics, 123134, Contemporary Mathematics 391.

The prolate spheroidal phenomenon as a consequence of bispectrality
(with Alberto Grunbaum),
pdf,
ps,
mathph/0303041
In: Workshop on Superintegrability,
Eds. P. Tempesta and P. Winternitz, CRM Proceedings 37,
Montreal, 2004, pp. 301312.

Affine Jacquet functors and HarishChandra categories
,
Adv. Math. 208 (2007), 4074.
pdf
ps,
math.RT/0302269.

Categories of modules over an affine KacMoody algebra
and finiteness of the KazhdanLusztig tensor product
, J. Algebra 319 (2008), no. 8, 31753196.
pdf
ps,
math.RT/0210180.

Symplectic leaves of complex reductive PoissonLie groups
,
Duke Math. J. 112 (2002), 453509,
math.QA/00004102

Quantum invariant measures
(with Nicolai Reshetikhin)
Comm. Math. Phys. 224 (2001), 399426,
math.QA/0101048

Discrete Darboux transformations from Jacobi polynomials
(with Alberto Grunbaum),
Pacific J. Math. 204 395432 (2002).
math.CA/0012191

The double and dual of a quasitriangular Lie bialgebra
(with Tim Hodges), Math. Res. Lett. 8 (2001), 91105,
math.QA/0008086

Deformation quantization of Lagrangian fiber bundles
(with Nicolai Reshetikhin), In: Conf\'erence Mosh\'e Flato 1999,
vol. 2, 269288, Kluwer Acad. Publ. 2000,
math.QA/9907164

Automorphisms of the Weyl algebra and bispectral operators
(with B. Bakalov and E. Horozov),
In: The bispectral problem, 310, CRM Proceedings, Montreal 1998,
qalg/9707018

General methods for constructing bispectral operators
(with B. Bakalov and E. Horozov),
Phys. Lett. A. 222 (1996), no. 12, 5966,
qalg/9605011

Highest weight modules over the W_{1+infty} algebra and the
bispectral problem
(with B. Bakalov and E. Horozov),
Duke Math. J. 93 (1998), no. 1, 4172,
qalg/9602012

Bispectral algebras of commuting ordinary differential operators
(with B. Bakalov and E. Horozov),
Comm. Math. Phys. 190 (1997), no. 2, 331373,
qalg/9602011

B\"acklundDarboux transformations in Sato's Grassmannian
(with B. Bakalov and E. Horozov),
Serdica Math. J. 22 (1996) 571586,
qalg/9602010

Highest weight modules of W_{1+infty}, Darboux transformations and the
bispectral problem
(with B. Bakalov and E. Horozov),
In: Conference on Geometry and Mathematical Physics (Bulgaria, 1995).
Serdica Math. J. 23 (1997) 95112,
qalg/9601017

Taufunctions as highest weight vectors for W_{1+infty} algebra
(with B. Bakalov and E. Horozov), J. Phys. A 29 (1996),
55655573,
hepth/9510211