Studies on spaces with algebraic group action and representation theory

1. J. Sekiguchi研究了一个特殊的实简单李代数的幂零轨道嵌入到另一个李代数中的问题。（与德约科维奇教授合作）J. Sekiguchi研究了实半单李代数的双曲轨道及其紧化。这项工作于2001年在新加坡举行的NUS-JSPS代数研讨会上报告，并于2002年在京都大学RIMS举行的会议上完成。J. Sekiguchi研究了appels超几何函数的正多面体群与单群之间的关系。（与加藤教授（琉球大学）联合工作）

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))