28 citations · 129 across the 43 of their papers we have counts for
47 papers
Near-derivations and their applications to Lie algebras
Dmitri Panyushev, Oksana Yakimova
E.B. Vinberg's theory of quasi-derivations of algebras is extended to a broader framework of near-derivations. This deepens connections between Poisson geometry and Lie theory. Alt…
Invariants of twisted current algebras and related Poisson-commutative subalgebras
Dmitri Panyushev, Oksana Yakimova
Let q be a finite-dimensional Lie algebra and an automorphism of q of order m. We extend to an automorphism of the loop algebra of q and consider the fixed-point subalgebra…
A combinatorial approach to the index of seaweed subalgebras of Kac--Moody algebras
Oksana Yakimova
In 2000, Dergachev and Kirillov introduced subalgebras of "seaweed type" in and computed their index using certain graphs. Then seaweed subalgebras $\mathfrak q\s…
Contact Lie algebras, generic stabilisers, and affine seaweeds
Oksana Yakimova
Let be an algebraic Lie algebra of index 1, i.e., a generic -orbit on has codimension 1. We show that the following conditions are equivalent…
Some remarks on periodic gradings
Oksana Yakimova
Let be a finite-dimensional Lie algebra, a finite order automorphism, and the subalgebra of fixed points of $\vartheta…
Automorphisms of finite order, periodic contractions, and Poisson-commutative subalgebras of
Dmitri Panyushev, Oksana Yakimova
Let be a semisimple Lie algebra, a finite order automorphism, and the subalgebra of fixed points of .…