Milen Yakimov -
Publications
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Invariant prime ideals in
quantizations of nilpotent Lie algebras
,
pdf,
ps,
arXiv:0905.0852.
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Cyclicity of Lusztig's stratification of Grassmannians
and Poisson geometry
pdf,
ps,
arXiv:0902.2181.
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Completeness of determinantal Hamiltonian flows on the matrix
affine Poisson space
(with Michael Gekhtman),
pdf,
ps,
arXiv:0809.4650.
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The real loci of Calogero--Moser spaces, representations
of rational Cherednik algebras and the Shapiro conjecture
(with Iain Gordon and Emil Horozov),
pdf,
ps,
arXiv:0711.4336.
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Modular classes of regular twisted Poisson structures
on Lie algebroids
(with Yvette Kosmann-Schwarzbach),
Lett. Math. Phys. 80 (2007), 183-197,
pdf,
ps,
math.SG/0701209.
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Group orbits and regular partitions of Poisson manifolds
(with Jiang-Hua Lu),
Comm. Math. Phys. 283 (2008), no. 3, 729-748,
pdf,
ps,
math.SG/0609732.
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A Deodhar type stratification on the double flag variety
(with Ben Webster),
Transformation Groups 12 (2007), no. 4, 769--785,
pdf,
ps,
math.SG/0607374.
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Partitions of the wonderful group compactification
(with Jiang-Hua Lu),
Transformation Groups 12 (2007), no. 4, 695--723,
pdf,
ps,
math.RT/0606579.
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Spaces of flat G-connections
over surfaces and symmetrically factorizable Poisson Lie groups
(with Rinat Kashaev and Nicolai Reshetikhin),
in preparation.
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Poisson structures on
affine spaces and flag varieties. II.
(with K. R. Goodearl),
pdf,
ps.
math.QA/0509075,
to appear in Trans. AMS.
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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), 567--629,
pdf,
ps.
math.RT/0501109.
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On a class of double cosets in reductive algebraic groups
(with Jiang-Hua Lu),
pdf,
ps,
math.RT/0410006,
Int. Math. Res. Notices 2005, no. 13, pp. 761-797.
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The prolate spheroidal phenomenon and bispectral algebras
of ranks 1 and 2
(with Alberto Grunbaum), latest file
pdf,
ps.
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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, 123--134, Contemporary Mathematics 391.
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The prolate spheroidal phenomenon as a consequence of bispectrality
(with Alberto Grunbaum),
pdf,
ps,
math-ph/0303041
In: Workshop on Superintegrability,
Eds. P. Tempesta and P. Winternitz, CRM Proceedings 37,
Montreal, 2004, pp. 301-312.
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Affine Jacquet functors and Harish-Chandra categories
,
Adv. Math. 208 (2007), 40--74.
pdf
ps,
math.RT/0302269.
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Categories of modules over an affine Kac-Moody algebra
and finiteness of the Kazhdan-Lusztig tensor product
, J. Algebra 319 (2008), no. 8, 3175--3196.
pdf
ps,
math.RT/0210180.
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Symplectic leaves of complex reductive Poisson-Lie groups
,
Duke Math. J. 112 (2002), 453-509,
math.QA/00004102
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Quantum invariant measures
(with Nicolai Reshetikhin)
Comm. Math. Phys. 224 (2001), 399-426,
math.QA/0101048
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Discrete Darboux transformations from Jacobi polynomials
(with Alberto Grunbaum),
Pacific J. Math. 204 395-432 (2002).
math.CA/0012191
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The double and dual of a quasitriangular Lie bialgebra
(with Tim Hodges), Math. Res. Lett. 8 (2001), 91-105,
math.QA/0008086
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Deformation quantization of Lagrangian fiber bundles
(with Nicolai Reshetikhin), In: Conf\'erence Mosh\'e Flato 1999,
vol. 2, 269-288, Kluwer Acad. Publ. 2000,
math.QA/9907164
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Automorphisms of the Weyl algebra and bispectral operators
(with B. Bakalov and E. Horozov),
In: The bispectral problem, 3-10, CRM Proceedings, Montreal 1998,
q-alg/9707018
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General methods for constructing bispectral operators
(with B. Bakalov and E. Horozov),
Phys. Lett. A. 222 (1996), no. 1-2, 59-66,
q-alg/9605011
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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, 41-72,
q-alg/9602012
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Bispectral algebras of commuting ordinary differential operators
(with B. Bakalov and E. Horozov),
Comm. Math. Phys. 190 (1997), no. 2, 331-373,
q-alg/9602011
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B\"acklund-Darboux transformations in Sato's Grassmannian
(with B. Bakalov and E. Horozov),
Serdica Math. J. 22 (1996) 571-586,
q-alg/9602010
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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) 95--112,
q-alg/9601017
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Tau-functions as highest weight vectors for W_{1+infty} algebra
(with B. Bakalov and E. Horozov), J. Phys. A 29 (1996),
5565-5573,
hep-th/9510211