Tatsuo Kimura - My portal

Profile Information

Degree: 理学修士(東京大学)
理学博士(名古屋大学)

J-GLOBAL ID: 200901004474166736
researchmap Member ID: 1000048231

Research Interests

Research Areas

Natural sciences / Algebra /

Research History

1995 - 1997

プリンストン高等学術研究所数学研究員
Professor, University of Tsukuba Graduate School of Pure and Applied Sciences, Graduate School of Pure and Applied Sciences Mathematics

Education

- 1973

The University of Tokyo
- 1973

Graduate School, Division of Mathematics, The University of Tokyo
- 1970

Faculty of Science, The University of Tokyo
- 1970

Faculty of Science, The University of Tokyo

Misc.

On M. Sato's Classification of Some Reductive Prehomogeneous Vector Spaces

Tatsuo Kimura, Yukimi Ishii, Inhyun Ryu, Michio Hamada, Yoshiteru Kurosawa, Masaya Ouchi, Tomohiro Kamiyoshi

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 47(2) 397-418, Jun, 2011
On M. Sato's Classification of Some Reductive Prehomogeneous Vector Spaces

Tatsuo Kimura, Yukimi Ishii, Inhyun Ryu, Michio Hamada, Yoshiteru Kurosawa, Masaya Ouchi, Tomohiro Kamiyoshi

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 47(2) 397-418, Jun, 2011
A classification of representations ρ⊗Λ₁ of reductive algebraic groups G×SLn (n≧2) with finitely many orbits

Hadronic Press,IncAlgebras, Groups and Geometries, 25 115-159, 2008
A classification of representations ρ⊗Λ₁ of reductive algebraic groups G×SLn (n≧2) with finitely many orbits

Hadronic Press,IncAlgebras, Groups and Geometries, 25 115-159, 2008
Relative invariants of 2-simple prehomogeneous vector spaces of type I

Tatsuo Kimura, Takeyoshi Kogiso, Kazunari Sugiyama

JOURNAL OF ALGEBRA, 308(2) 445-483, Feb, 2007
Relative invariants of 2-simple prehomogeneous vector spaces of type I

Tatsuo Kimura, Takeyoshi Kogiso, Kazunari Sugiyama

JOURNAL OF ALGEBRA, 308(2) 445-483, Feb, 2007
A classification of irreducible weakly spherical homogeneous spaces

Tatsuo Kimura, Daisuke Takeda, Tomohiro Kamiyoshi

JOURNAL OF ALGEBRA, 302(2) 793-816, Aug, 2006
A classification of irreducible weakly spherical homogeneous spaces

Tatsuo Kimura, Daisuke Takeda, Tomohiro Kamiyoshi

JOURNAL OF ALGEBRA, 302(2) 793-816, Aug, 2006
Relative invariants of some 2-simple prehomogeneous vector spaces

Mathematics of Computation, 72 No.242, 865-889, 2003
Nonregular 2-simple prehomogeneous vector spaces of type I and their relative invariants

T Kogiso, G Miyabe, M Kobayashi, T Kimura

JOURNAL OF ALGEBRA, 251(1) 27-69, May, 2002
Nonregular 2-simple prehomogeneous vector spaces of type I and their relative invariants

T Kogiso, G Miyabe, M Kobayashi, T Kimura

JOURNAL OF ALGEBRA, 251(1) 27-69, May, 2002
Fundamental theorem of prehomogeneous vector spaces of characteristic p

T Kimura, T Kogiso, M Fujinaga

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 56(2) 331-341, Oct, 1997
Fundamental theorem of prehomogeneous vector spaces of characteristiec P

Bull. Austral. Math. Soc., 56 331-341, 1997
A Classification of Simple Weakly Spherical Homogeneous Spaces, I

Journal of Algebra, 182(1) 235-255, 1996
A Classification of 3-simple Prehomogeneous Vector Spaces of Non-trivial Type

Japanese Journal of Mathematics, 22(1) 159, 1996
A Classification of Simple Weakly Spherical Homogeneous Spaces, I

Journal of Algebra, 182(1) 235-255, 1996
A Classification of 3-simple Prehomogeneous Vector Spaces of Non-trivial Type

Japanese Journal of Mathematics, 22(1) 159, 1996
ARITHMETIC CALCULUS OF FOURIER-TRANSFORMS BY IGUSA LOCAL ZETA-FUNCTIONS

T KIMURA

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 346(1) 297-306, Nov, 1994
Arithmetic calculus of Fourier transforms by Igusa local zeta functions

Trans. Amer. Math. Soc., 346(1) 297-306, 1994
On adelic zeta functions of Prehomogeneous vector spaces with a finitely many adelic open orbits (with Kogiso)

Advanced studies in pure math., 21 21-31, 1992

Books and Other Publications

代数の魅力

数学書房, 2009
佐藤幹夫の数学

日本評論社, 2007
現代数学の広がり２

岩波書店, 2005
明解・線形代数

日本評論社, 2005
Introduction to Prehomogeneous Vector Spaces

AMS（アメリカ数学会）, 2003
概均質ベクトル空間

岩波書店, 1998
Foundation of Algebraic Analsysis

プリンストン大学出版局, 1986
Foundation of Algebraic Analsysis

Princeton Univ. Press, 1986
円分体の代数的類数公式

上智大学数学講究録NO.22 上智大学数学講究録NO.22 上智大学数学教室, 1985
代数解析学の基礎

紀伊国屋書店, 1980

Professional Memberships

Research Projects

簡約可能概均質ベクトル空間の分類

2001 - 2005
A classification of reductive prehomogeneous vector spaces

2001 - 2005
数論, 代数幾何学
number theory, algebraic geometry