Research field (3)：
Mathematical analysis
, Geometry
, Algebra
Research keywords (10)：
reductive real spherical homogeneous space
, 対称空間
, 複素多様体
, 無重複表現
, リー群の表現論
, Homogeneous space
, Symmetric space
, Complex manifold
, Multiplicity-free representation
, Representation theory of Lie group
Research theme for competitive and other funds (6)：
2019 - 2023 A Cartan decomposition, restricted roots and invariant measure of real spherical homogeneous spaces of reductive type
2015 - 2019 A study of Cartan decompositions and invariant measures for spherical homogeneous spaces of reductive type
2012 - 2015 Classification theory of visible actions on complex homogeneous spaces
2010 - 2011 Geometric structures of non-symmetric spherical manifolds by strongly visible actions
Classification problem of visible actions
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Papers (17)：
Atsumu Sasaki. Invariant measures on non-symmetric reductive real spherical homogeneous spaces of rank-one type. to appear in ``Symmetry in Geometry and Analysis, Volume 1 --- Festschrift for Toshiyuki Kobayashi'', Progress in Mathematics, Springer, accepted for publication in. 2023
Atsumu Sasaki. Multiplicity-free representations and visible actions. accepted for publication in Sugaku Expositions. 2023
笹木 集夢. 無重複表現と可視的作用. 日本数学会「数学」. 2022. 74. 3
Ali Baklouti, Atsumu Sasaki. Visible actions and geometric criteria for multiplicity-freeness of representations of Heisenberg groups. Journal of Lie Theory. 2021. 31. 3. 719-750
Baba Kurando, Osamu Ikawa, Atsumu Sasaki. A duality between non-compact semisimple symmetric pairs and commutative compact semisimple symmetric triads and its general theory. Differential Geometry and its Applications. 2021. 76. 101751
SASAKI Atsumu. Visible actions on spherical nilpotent orbits (Development of group actions and submanifold theory). RIMS Kokyuroku. 2014. 1929. 112-123
Weyl group of pseudo-Riemannian semisimple symmetric spaces
(東京理科大学創域理工学部数理科学科談話会/東京理科大学幾何学セミナーとの合同開催 2024)
Weyl group of pseudo-Riemannian symmetric space
(2024)
Weyl group of pseudo-Riemannian symmetric space
(2024)
Invariant measures on reductive real spherical homogeneous spaces
(7th Tunisian-Japanese Conference "Geometric and Harmonic Analysis on Homogeneous Spaces and Applications" in Honor of Professor Toshiyuki Kobayashi 2023)
A classification theory of visible actions on complex manifolds and multiplicity-free representations
(2023)
