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2002 Fiscal Year Final Research Report Summary

Studies on spaces with algebraic group action and representation theory

Research Project

Project/Area Number 13640039
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Algebra
Research InstitutionTokyo 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
KeywordsNilpotent 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))

  • Research Products

    (8 results)

All Other

All Publications (8 results)

  • [Publications] D.Z.Djokovic, N.Lemire, J.Sekiguchi: "The closure ordering of adjoint nilpotent ornits in so(p, q)"Tohoku Math.J.. 53. 395-442 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] E.Bannai, M.Koike, A.Munemasa, J.Sekiguchi: "Some results on modular groups"Advanced Studies in Pure Math.. 32. 245-254 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] D.Z.Djokovic, J.Sekiguchi: "Mapping of nilpotent orbits under embedding of real forms of exceptional complex Lie algebras"Asian J.Math.. 6. 409-432 (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] D.Z.Djokovic, J.Sekiguchi: "Nilpotent orbits of the complex symmetric pairs whose restricted root systems are of type F4"Sophia Kokyuroku in Math.. 45. 39-56 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] D. Z. Djokovic, N. Lemire and J.Sekiguchi: "The closure ordering of adjoint nilpotent orbits in so(p,q)"Tohoku Math. J.. 53. 395-442 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] E. Bannai, M., Koike, A. Munemasa and J. Sekiguchi: "Some results on modular groups-Subgroups of the modular group whose ring of modular forms is a polynomial ring"Advanced Studies in Pure Math.. 32. 245-254 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] D. Z. Djokovic and J. Sekiguchi: "Mapping of nilpotent orbits under embeddings of real forms of exceptional complex Lie algebras"Asian J. Math.. 6. 409-432 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] D. Z. Djokovic and J. Sekiguchi: "Nilpotent orbits of the complex pairs whose restricted root systems are of type F_4"Theory ofl Lie Groups and Manifolds, by R. Miyaoka and H. Tamaru, Sophia Kokyuroku in Math.. No.45. 39-56 (2003)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2004-04-14  

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