Combinatorial and geometric constructions associated with the Kostant cascade, J. Lie Theory, 33, no. 2 (2023), 497--526
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Automorphisms of finite order, periodic contractions, and Poisson-commutative subalgebras of S(g), Math. Zeitschrift, 303, no. 2 (2023), Article 51.
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Reductive subalgebras of semisimple Lie algebras and Poisson commutativity, J. Symplectic Geom., 20 no. 4 (2022), 911--926
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Poisson-commutative subalgebras of S(g) associated with involutions, Intern. Math. Res. Notices, 2021, no. 23, 18367--18406.
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Periodic automorphisms, compatible Poisson brackets, and Gaudin subalgebras, Transform. Groups, 26, no. 2 (2021), 641--670
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Compatible Poisson brackets associated with 2-splittings and Poisson commutative subalgebras of S(g), J. London Math. Soc., 103, no. 4 (2021), 1577--1595.
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Nilpotent orbits and mixed gradings of semisimple Lie algebras, Indagationes Mathematicae, 32, no. 5 (2021), 1095-1114
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Casimir elements associated with Levi subalgebras of simple Lie algebras and their applications, Advances in Math., 374 (2020), Article 107390
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Takiff algebras with polynomial rings of symmetric invariants, Transformation Groups, 25, no.2 (2020), 609--624
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Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties, Math. Zeitschrift, 295 (2020), 101-127.
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Glorious pairs of roots and abelian ideals of a Borel subalgebra, J. Algebraic Combinatorics, 52 (2020), 505-525
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Abelian ideals of a Borel subalgebra and root systems, II, Algebras and Representation Theory, 23, no.4 (2020), 1487-1498
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Semi-direct products involving Sp_{2n} or Spin_n with free algebras of symmetric invariants, In: M. Gorelik, V. Hinich, A. Melnikov (Eds.): ``Representations and Nilpotent Orbits of Lie Algebraic Systems: In Honour of the 75th Birthday of Tony Joseph"", Progress in Math. 330, Basel Birkhäuser 2019, 441-470.
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Nilpotent subspaces and nilpotent orbits, J. Austral. Math. Soc., 106 (2019), 104-126
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On seaweed subalgebras and meander graphs in type D, J. Pure Applied Algebra, 222, no. 11 (2018), 3414-3431
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Symmetric invariants related to representations of exceptional simple groups, Труды Моск. Матем. Об-ва, т.78 (2017), вып. 2, с.195--207
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Abelian ideals and amazing roots, Intern. J. Math., 28, no. 14 (2017), 1750105 (9 pages)
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Semi-direct products of Lie algebras and covariants, J. Algebra, 290 (2017), 283-315.
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On the orbits of a Borel subgroup in abelian ideals, Transformation Groups, 22, no.2 (2017), 503-524.
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On seaweed subalgebras and meander graphs in type C, Pacific J. Math., 285, no.2 (2016), 485--499.
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