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A method to find generators of a semi-simple Lie group via the topology of its flag manifolds
(2017-10-01)
In this paper we continue to develop the topological method to get semigroup generators of semi-simple Lie groups. Consider a subset Γ ⊂ G that contains a semi-simple subgroup G1 of G. If one can show that Γ does not leave ...
The Gromov’s centralizer theorem for semisimple Lie group actions
(2017-10)
We give a new version of the Gromov’s centralizer theorem in the case
of semisimple Lie group actions and arbitrary rigid geometric structures of algebraic
type.
The Gromov’s centralizer theorem for semisimple Lie group actions
(2017-10)
We give a new version of the Gromov’s centralizer theorem in the case
of semisimple Lie group actions and arbitrary rigid geometric structures of algebraic
type.
Connected components of open semigroups in semi-simple Lie groups
(SpringerNew YorkEUA, 2004)
Maximal semigroups in semi-simple Lie groups
(Amer Mathematical SocProvidenceEUA, 2001)
Reversibility properties of semigroup actions on homogeneous spaces
(SpringerNew YorkEUA, 2012)
The homotopy type of Lie semigroups in semi-simple Lie groups
(Springer-verlag WienViennaAustria, 2002)
A Geometric Splitting Theorem
(2019)
Let G = G1...Gl be a connected noncompact semisimple
Lie group with Lie algebra g = g_1+g_2+....+ g_l acting topologically
transitive on a manifold M. We obtain a geometric splitting
of the metric on M that consider ...