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Selected Publications of Oksana Yakimova
One-parameter contractions of Lie-Poisson brackets,
J. European Math. Society, 16 (2014), 387-407.
(with D.Panyushev)
Parabolic contractions of semisimple Lie algebras and their invariants,
Selecta Mathematica (N.S.), 19 (2013), 699-717.
(with V.Fischer and
F.Ricci) Nilpotent Gelfand pairs and spherical
transforms of Schwartz
functions II. Taylor expansion on singular sets,
Lie Groups: Structure, Actions and Representations,
Progress in Mathematics volume dedicated to Joseph A. Wolf,
306 (2013).
(with D.Panyushev)
A remarkable contraction of semisimple Lie algebras,
Ann. Inst. Fourier (Grenoble) 62 no.6, (2012),
2053-2068;
arxiv:1107.0702v1[math.AG].
(with V.Fischer and
F.Ricci) Nilpotent Gelfand Pairs and Spherical
Transforms of Schwartz Functions I. Rank-One Actions on the Centre,
Math. Zeitschrift271 no.1-2, (2012), 221-255;
arXiv:1002.3630v1[math.FA].
(with
A.Moreau) Coadjoint orbits of reductive type of seaweed Lie
algebras, Int. Math. Res. Notices 2012(2012), 4475-4519;
arxiv:1101.0902v2[math.RT].
(with W.de Graaf and E.B.Vinberg)
An effective method to compute closure ordering for nilpotent orbits
of θ-representations, Journal of Algebra 371(2012), 38-62;
arxiv:1107.1864v1[math.AG].
On the derived algebra of a centraliser,
Bull. des Sciences Math.134 no.6 (2010), 579-587;
arxiv:1003.0602v1.
Surprising properties of centralisers in classical Lie algebras,
Ann. Inst. Fourier (Grenoble) 59 no.3 (2009),
903-935;
arXiv:0803.0285v2.
(with D.Panyushev)
The argument shift method and maximal commutative subalgebras of
Poisson algebras, Math. Res. Letters 15 no.2 (2008),
239-249; math.RT/0702583.
A counterexample to Premet's and Joseph's conjectures,
Bull. London Math. Soc.39 no.5 (2007), 749-754.
(with D.Panyushev and
A.Premet)
On symmetric invariants of centralisers in reductive Lie algebras,
Journal of Algebra 313(2007), 343-391;
math.RT/0610049.
(with D.Panyushev) Symmetric pairs and
associated commuting
varieties, Math. Proc. Camb. Phil. Soc. 143 no.2 (2007), 307-321;
math.AG/0601534.
(with D.Panyushev) The index
of representations associated with
stabilisers, Journal of Algebra 302(2006), 280-304;
math.RT/0502478.
The index of the centralisers of elements in classical Lie algebras,
Funct. Anal. Appl. 40(2006), no.1, 42-51;
math.RT/0407065.
Principal Gelfand pairs, Transformation Groups 11(2006), no.2, 305-335;
math.RT/0403419.