My Profile


Name: Taiki SHIBATA

Nationality: JAPAN

Current Position: Research Associate
Department of Applied Mathematics
Okayama University of Science

E-mail: shibata at xmath dot ous dot ac dot jp
(also available: shibata at ualberta dot ca and tshibata at math dot tsukuba dot ac dot jp)

Research Interests

My research interests are in Lie theory, representation theory, algebraic geometry and their "super" versions.
Here, the word "super" is used as a synonym of graded by Z2, the cyclic group of order 2.
In recent years, I have been working on structure and representation theory of algebraic supergroups in a Hopf-algebraic way.

Research Keywords:
  • Hopf algebras
  • Lie theory and representation theory
  • Algebraic groups (Chevalley groups, Reductive groups)
  • Infinite-dimensional groups (Kac-Moody groups)
  • Kac-Moody Lie algebras
  • Algebraic supergroups (Chevalley supergroups, Quasireductive supergroups)
  • Lie superalgebras
  • Quantum groups
  • Picard-Vessiot theory
  • Prehomogeneous vector spaces

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