2 papers
math.RT2020
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…
math.RT2018
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…