Studies on spaces with algebraic group action and representation theory

1.J.Sekiguchi研究了一个特殊实单李代数的幂零轨道在另一个李代数中的嵌入。(与D.Z.Djokovic教授合著)2.J.Sekiguchi研究了实半单李代数的双曲轨道及其紧化。这项工作在2001年于新加坡举行的NUS-JSPS代数研讨会上作了报告，也在2002.3在京都大学RIMS举行的一次会议上完成。J.Sekiguchi研究了Appell超几何函数的正多面体群与单体群之间的关系。(与M.Kato教授(大学)共同工作)琉球))

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))