Selected Publications of Oksana Yakimova
- (with D. Panyushev)
Compatible Poisson brackets associated with 2-splittings and Poisson commutative subalgebras
of S(g), J. LMS, 103 (2021), 1577-1595;
arXiv:2009.05271.
- (with A. Molev) Monomial bases and branching rules,
Transformation groups, 26 (2021), 995-1024;
arxiv:1812.03698.
- (with D. Panyushev)
Periodic automorphisms, compatible Poisson brackets, and Gaudin subalgebras,
Transformation Groups, 26 (2021), 641-670;
arXiv:2102.10065.
- Commutative subalgebras of U(q) of maximal transcendence degree,
Math. Res. Lett., 28 (2021), 907-924;
arXiv:2001.11493.
- A combinatorial identity for the Jacobian of t-shifted invariants,
Pacific J. Math., 306 (2020), 375-383;
arxiv:1806.09661.
- (with D. Panyushev)
Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties,
Math. Zeitschrift, 295 (2020), 101-127.
- (with A. Molev)
Quantisation and nilpotent limits of Mishchenko-Fomenko subalgebras,
Repres. Theory, 23 (2019), 350-378.
- (with E.B. Vinberg) Complete families of commuting functions for coisotropic
Hamiltonian actions, Advances in Mathematics, 348 (2019), 523-540.
- (with V.
Fischer
and
F. Ricci) Nilpotent Gelfand pairs and Schwartz extensions of
spherical transforms via quotient pairs, J. Functional Analysis, 274 no.4,
(2018), 1076-1128.
- Symmetric invariants of Z2-contractions and other
semi-direct products, Int. Math. Res. Notices, 2017 no.6, (2017), 1674-1716;
doi.
- 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. Zeitschrift, 271 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].
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- (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].
- (with W. de Graaf)
Good index behaviour of
θ-representations, I,
Algebras and Repr. Theory 15 no.4, (2012),
613-638.
- 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.
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- Principal Gelfand pairs, Transformation Groups
11(2006), no.2, 305-335;
math.RT/0403419.
- Gelfand pairs,
Dissertation,
Rheinischen Friedrich-Wilhelms-Universität Bonn, 2004,
Bonner Mathematische Schriften
374(2005).
- Weakly symmetric Riemannian manifolds with reductive isometry
group, Mat. Sbornik 195(2004), no.4, 143-160;
preprint MPIM 2003-72.
- Righteous isometries of weakly symmetric spaces,
Mat. Sbornik 193(2002), no.1, 143-156.
- Weakly symmetric spaces of semisimple Lie groups,
Moscow University Math. Bulletin (2002), no.2, 57-60.
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