For a connected abelian Lie group T acting on a Poisson manifold (Y, π) by Poisson
isomorphisms, the T-leaves of π in Y are the orbits of the symplectic leaves of π under T, and …

We show that, for a connected reductive algebraic group G over an algebraically closed field
of zero or good characteristic, the parts, called strata, in the partition of G recently introduced …

In this paper we study some remarkable semisimple elements of an (extended) Chevalley
group that are diagonalizable over the ground field—the 'weight elements'. In particular, we …

Let G be a connected semisimple algebraic group over an algebraically closed field of
characteristic zero, and let θ be an automorphism of G. We give a characterization of …

Let $ G $ be a simple algebraic group over an algebraically closed field $ k $ of bad
characteristic. We classify the spherical unipotent conjugacy classes of $ G $. We also show …

В настоящей работе, являющейся продолжением статьи [17], мы до казываем все
анонсированные в [28, 83] результаты о разложении Брюа длинных корневых торов в …

Let GG be a simple algebraic group over an algebraically closed field and let θ θ be a graph‐
automorphism of G G. We classify the spherical unipotent conjugacy classes in the coset G θ …

Let G be a connected complex semisimple Lie group with a fixed maximal torus T and a
Borel subgroup B⊃ T. For an arbitrary automorphism θ of G, we introduce a holomorphic …

Recently, Lusztig constructed for each reductive group a partition by unions of sheets of
conjugacy classes, which is indexed by a subset of the set of conjugacy classes in the …

We provide an alternative description of the restriction to spherical unipotent conjugacy
classes, of Lusztig's map Ψ from the set of unipotent conjugacy classes in a connected …