笹木 集夢

Sasaki Atsumu

  • 教授
  • 学位:博士(理学)

基本情報

所属

  • Undergraduate School of Science / Department of Mathematics
  • Graduate School of Science and Technology / Course of Science and Technology
  • Graduate School of Science / Course of Mathematics and Mathematical Sciences

詳細情報

研究キーワード

  • reductive real spherical homogeneous space
  • Homogeneous space
  • Symmetric space
  • Complex manifold
  • Multiplicity-free representation
  • Representation theory of Lie group

研究分野

  • Natural sciences Mathematical analysis
  • Natural sciences Geometry
  • Natural sciences Algebra

委員歴

  • The Mathematical Society of Japan Member of subcomittee of functional analysis
  • The Mathematical Society of Japan Member of subcomittee of functional analysis
  • The Mathematical Society of Japan Member of subcomittee of functional analysis

論文

Invariant measures on non-symmetric reductive real spherical homogeneous spaces of rank-one type

Multiplicity-free representations and visible actions

Visible actions and geometric criteria for multiplicity-freeness of representations of Heisenberg groups

A duality between non-compact semisimple symmetric pairs and commutative compact semisimple symmetric triads and its general theory

A Cartan decomposition for non-symmetric reductive spherical pairs of rank-one type and its application to visible actions

Dimension formula for slice for visible actions on spherical nilpotent orbits in complex simple lie algebras

A duality between compact symmetric triads and semisimple pseudo-riemannian symmetric pairs with applications to geometry of hermann type actions

Visible Actions on Spherical Nilpotent Orbits in Complex Simple Lie Algebras

Admissible representations, multiplicity-free representations and visible actions on non-tube type Hermitian symmetric spaces

Some remarks on visible actions on multiplicity-free spaces

Visible actions on the non-symmetric homogeneous space SO(8,?)/G 2(?)

Visible Actions on Reducible Multiplicity-Free Spaces

A characterization of non-tube type Hermitian symmetric spaces by visible actions

A Generalized Cartan Decomposition for the Double Coset Space SU(2n+1)SL(2n+1, C)/Sp(n, C)

Visible Actions on Irreducible Multiplicity-Free Spaces

Visible actions on irreducible multiplicity-free spaces

講演?口頭発表等

  • Weyl group of pseudo-Riemannian symmetric space
  • Weyl group of pseudo-Riemannian symmetric space
  • Invariant measures on reductive real spherical homogeneous spaces
  • A classification theory of visible actions on complex manifolds and multiplicity-free representations
  • Visible actions on reductive spherical homogeneous spaces and their invariant measures
  • Invariant measures on non-symmetric reductive spherical homogeneous spaces of rank-one type
  • Visible actions and criteria for multiplicity-freeness of restrictions of quasi-regular representations of Heisenberg groups
  • Visible actions and criteria for multiplicity-freeness of representations of Heisenberg groups
  • Geometric criteria for multiplicity-freeness of representations of Heisenberg group
  • A duality between non-compact semisimple symmetric pairs and commutative compact semisimple symmetric triads
  • Visible actions and geometric criteria for multiplicity-freeness of representations of Heisenberg groups
  • Visible actions on complex Heisenberg homogeneous spaces and geometric criterion for multiplicity-freeness of representations
  • Visible actions on complex Heisenberg homogeneous spaces
  • An explicit description of a Cartan decomposition for spherical homogeneous spaces
  • Visible actions on Heisenberg homogeneous spaces
  • Visible actions on Heisenberg homogeneous spaces and application to representation theory
  • Recent study on a classification of strongly visible actions
  • Introduction to visible actions on complex manifolds

担当経験のある科目

  • Exercise of geometry A
  • LECTURE ON PRACTICE OF MATHEMATICS EDUCATION
  • Topology
  • Introduction to algebra
  • Algebra 1A
  • TEACHING METHOD OF MATHEMATICS 2
  • TEACHING METHOD OF MATHEMATICS 1
  • Linear Algebra 2
  • Linear Algebra 1
  • Group Theory

所属学会

  • The Mathematical Society of Japan

共同研究?競争的資金等の研究課題

A Cartan decomposition, restricted roots and invariant measure of real spherical homogeneous spaces of reductive type

A study of Cartan decompositions and invariant measures for spherical homogeneous spaces of reductive type

Classification theory of visible actions on complex homogeneous spaces

Geometric structures of non-symmetric spherical manifolds by strongly visible actions

Classification problem of visible actions

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