2002 Fiscal Year Final Research Report Summary
Studies on spaces with algebraic group action and representation theory
| Project/Area Number |
13640039
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Tokyo University of Agriculture and Technology |
|---|
Principal Investigator |
SEKIGUCHI Jiro Tokyo University of Agrieulture and Technology, Faculty of Technology, Professor, 工学部, 教授 (30117717)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
MAEDA Hironobu Tokyo University of Agriculture and Technology, Faculty of Technology, Associate Professor, 工学部, 助教授 (50173711)
WADA Tomoyuki Tokyo University of Agriculture and Technology, Faculty of Technology, Professor, 工学部, 教授 (30134795)
|
|---|
| Project Period (FY) |
2001 – 2002
|
| Keywords | Nilpotent orbit / Exceptional Lie algebra / Hyperbolic orbit / Compactification / Regular polyhedra / Monodromy |
|---|
| Research Abstract |
1. J. Sekiguchi studied an imbedding of nilpotent orbits of an exceptional real simple Lie algebra into another. (A joint work with Professor D. Z. Djokovic)
2. J. Sekiguchi studied hyperbolic orbits of real semisimple Lie algebras and compactificiations of them. This work was reported at NUS-JSPS Workshop on ALGEBRA held in Singapore 2001 and also done at a meeting held in RIMS, Kyoto Univ., 2002.
3. J. Sekiguchi studied the relationship between regular polyhedral groups and monodromy groups of Appell's hypergeometric functions. (A joint work with Prof. M. Kato (Univ. of Ryukyus))
|
