Combinatorial and geometric constructions associated with the Kostant cascade, J. Lie Theory, 33, no. 2 (2023), 497--526
Go to publication

Automorphisms of finite order, periodic contractions, and Poisson-commutative subalgebras of S(g), Math. Zeitschrift, 303, no. 2 (2023), Article 51.
Go to publication

Reductive subalgebras of semisimple Lie algebras and Poisson commutativity, J. Symplectic Geom., 20 no. 4 (2022), 911--926
Go to publication

Poisson-commutative subalgebras of S(g) associated with involutions, Intern. Math. Res. Notices, 2021, no. 23, 18367--18406.
Go to publication

Periodic automorphisms, compatible Poisson brackets, and Gaudin subalgebras, Transform. Groups, 26, no. 2 (2021), 641--670
Go to publication

Compatible Poisson brackets associated with 2-splittings and Poisson commutative subalgebras of S(g), J. London Math. Soc., 103, no. 4 (2021), 1577--1595.
Go to publication

Nilpotent orbits and mixed gradings of semisimple Lie algebras, Indagationes Mathematicae, 32, no. 5 (2021), 1095-1114
Go to publication

Casimir elements associated with Levi subalgebras of simple Lie algebras and their applications, Advances in Math., 374 (2020), Article 107390
Go to publication

Takiff algebras with polynomial rings of symmetric invariants, Transformation Groups, 25, no.2 (2020), 609--624
Go to publication

Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties, Math. Zeitschrift, 295 (2020), 101-127.
Go to publication

Glorious pairs of roots and abelian ideals of a Borel subalgebra, J. Algebraic Combinatorics, 52 (2020), 505-525
Go to publication

Abelian ideals of a Borel subalgebra and root systems, II, Algebras and Representation Theory, 23, no.4 (2020), 1487-1498
Go to publication

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.
Go to publication

Nilpotent subspaces and nilpotent orbits, J. Austral. Math. Soc., 106 (2019), 104-126
Go to publication

On seaweed subalgebras and meander graphs in type D, J. Pure Applied Algebra, 222, no. 11 (2018), 3414-3431
Go to publication

Symmetric invariants related to representations of exceptional simple groups, Труды Моск. Матем. Об-ва, т.78 (2017), вып. 2, с.195--207
Go to publication

Abelian ideals and amazing roots, Intern. J. Math., 28, no. 14 (2017), 1750105 (9 pages)
Go to publication

Semi-direct products of Lie algebras and covariants, J. Algebra, 290 (2017), 283-315.
Go to publication

On the orbits of a Borel subgroup in abelian ideals, Transformation Groups, 22, no.2 (2017), 503-524.
Go to publication

On seaweed subalgebras and meander graphs in type C, Pacific J. Math., 285, no.2 (2016), 485--499.
Go to publication