2 citations · 4 across the 5 of their papers we have counts for
5 papers
Weyl group of semisimple symmetric space
Atsumu Sasaki
This paper investigates a generalization of the notion of the Weyl group of a real reductive Lie group to a semisimple symmetric space . First, we show that the group structur…
A duality between non-compact semisimple symmetric pairs and commutative compact semisimple symmetric triads and its general theory
Kurando Baba, Osamu Ikawa, Atsumu Sasaki
The present paper investigates a natural generalization of the duality between Riemannian symmetric pairs of compact type and those of non-compact type à la É. Cartan. The main res…
Visible actions and criteria for multiplicity-freeness of representations of Heisenberg groups
Ali Baklouti, Atsumu Sasaki
A visible action on a complex manifold is a holomorphic action that admits a -transversal totally real submanifold . It is said to be strongly visible if there exists an orbi…
A Cartan decomposition for non-symmetric reductive spherical pairs of rank-one type and its application to visible actions
Atsumu Sasaki
A Cartan decomposition for symmetric pairs plays an important role to study not only orbit geometry of the symmetric spaces but also harmonic analysis on them. For non-symmetric re…
Visible actions on spherical nilpotent orbits in complex simple Lie algebras
Atsumu Sasaki
This paper studies nilpotent orbits in complex simple Lie algebras from the viewpoint of strongly visible actions in the sense of T. Kobayashi. We prove that the action of a maxima…