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- Toshiyuki Kobayashi

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
34
Citations
3,989
158
World Ranking
2078
National Ranking
31

- Mathematical analysis
- Pure mathematics
- Algebra

Toshiyuki Kobayashi mainly investigates Pure mathematics, Unitary representation, Lie group, Algebra and -module. His Pure mathematics study combines topics from a wide range of disciplines, such as Discrete group, Group, Mathematical analysis and Homogeneous space. His Group research is multidisciplinary, relying on both Type, Subalgebra, Hilbert space, Reductive group and Rank.

His studies in Unitary representation integrate themes in fields like Induced representation, Conformal geometry and Lie algebra. The various areas that Toshiyuki Kobayashi examines in his Algebra study include Unitary state and Line bundle. Toshiyuki Kobayashi integrates -module with Discrete mathematics in his study.

- Discrete decomposability of the restriction of A q (λ) with respect to reductive subgroups and its applications (161 citations)
- Proper action on a homogeneous space of reductive type (122 citations)
- Discrete decomposability of the restriction of Aq(λ) with respect to reductive subgroupsIII. Restriction of Harish-Chandra modules and associated varieties (121 citations)

His primary scientific interests are in Pure mathematics, Algebra, Lie group, Mathematical analysis and Combinatorics. His study in Pure mathematics is interdisciplinary in nature, drawing from both Discrete mathematics, Discrete group, Unitary state and Homogeneous space. In his research on the topic of Algebra, Lie algebra and Semigroup is strongly related with Holomorphic function.

His work on Unitary representation as part of general Lie group study is frequently linked to -module and Double coset, bridging the gap between disciplines. His -module research includes themes of Representation theory of SU and Restricted representation. His work on Dimension is typically connected to Indefinite orthogonal group as part of general Combinatorics study, connecting several disciplines of science.

- Pure mathematics (70.00%)
- Algebra (23.16%)
- Lie group (18.95%)

- Pure mathematics (70.00%)
- Irreducible representation (10.00%)
- Automorphic form (8.95%)

Toshiyuki Kobayashi mainly investigates Pure mathematics, Irreducible representation, Automorphic form, Combinatorics and Backslash. Toshiyuki Kobayashi has included themes like Representation, Homogeneous space and Covariant transformation in his Pure mathematics study. His work deals with themes such as Infinitesimal character, Unitary state, State, Center and Rank, which intersect with Irreducible representation.

His Combinatorics study integrates concerns from other disciplines, such as Principal series representation and Section. His study in Backslash is interdisciplinary in nature, drawing from both Differential operator and Invariant. His Lie group research incorporates elements of Multiplicity, Nilpotent and Symplectic geometry.

- Differential Symmetry Breaking Operators (8 citations)
- Inversion of Rankin–Cohen operators via Holographic Transform (3 citations)
- Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group O(p,q) (3 citations)

- Mathematical analysis
- Algebra
- Pure mathematics

The scientist’s investigation covers issues in Pure mathematics, Differential operator, Homogeneous space, Invariant and Irreducible representation. His Lie group and Differential form study in the realm of Pure mathematics connects with subjects such as Hyperbolic manifold. His Lie group study combines topics from a wide range of disciplines, such as Representation, Type, Algebraic number, Generic point and Abelian group.

His Differential operator research integrates issues from Discrete group, Eigenvalues and eigenvectors, Subalgebra, Backslash and Laplace operator. Toshiyuki Kobayashi combines topics linked to Combinatorics with his work on Homogeneous space. His Irreducible representation research is multidisciplinary, relying on both Infinitesimal character, Invertible matrix, Bilinear form, State and Center.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Discrete decomposability of the restriction of A q (λ) with respect to reductive subgroups and its applications

Toshiyuki Kobayashi.

Inventiones Mathematicae **(1994)**

250 Citations

Proper action on a homogeneous space of reductive type

Toshiyuki Kobayashi.

Mathematische Annalen **(1989)**

189 Citations

Analysis on the minimal representation of O(p,q)

Toshiyuki Kobayashi;Bent Ørsted.

Advances in Mathematics **(2003)**

160 Citations

Discrete decomposability of the restriction of Aq(λ) with respect to reductive subgroups III. Restriction of Harish-Chandra modules and associated varieties

Toshiyuki Kobayashi.

Inventiones Mathematicae **(1998)**

136 Citations

The Schrödinger model for the minimal representation of the indefinite orthogonal group (

Toshiyuki Kobayashi;Toshiyuki Kobayashi;Gen Mano.

Memoirs of the American Mathematical Society **(2011)**

124 Citations

The Schrodinger model for the minimal representation of the indefinite orthogonal group O(p,q)

Toshiyuki Kobayashi;Gen Mano.

arXiv: Representation Theory **(2007)**

119 Citations

Analysis on the minimal representation of O(p;q) { I. Realization via conformal geometry

Toshiyuki Kobayashi;Bent Ørsted.

Advances in Mathematics **(2003)**

117 Citations

Multiplicity-free Theorems of the Restrictions of Unitary Highest Weight Modules with respect to Reductive Symmetric Pairs

Toshiyuki Kobayashi.

arXiv: Representation Theory **(2008)**

113 Citations

Multiplicity-free Representations and Visible Actions on Complex Manifolds

Toshiyuki Kobayashi.

Publications of The Research Institute for Mathematical Sciences **(2005)**

109 Citations

Symmetry Breaking for Representations of Rank One Orthogonal Groups

Toshiyuki Kobayashi;Birgit Speh.

**(2015)**

98 Citations

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