Academic Staff and Fellows
- ODA Fumihito
- Professor Doctor (Science)
- Department/Science Graduate school/Science
Examination is carried out into finite groups and their representation using a category theory approach. Research is conducted into group actions on simplicial complexes, semi-ordered sets, and modules.
Mackey axiom and commutative diagrams
| Research Area | Representation Theory of Finite Groups |
|---|---|
| Teaching (Undergraduate Course) | Kindai Seminar 1, Group theory 1, Study of Mathematics (7)(e), Group theory 1, Study of Mathematics (2), Algebra (2) |
| Teaching (Graduate Course) | Group theory, Categorical representation theory, Advanced research on mathematical analysis, Ph. D. Study in group theory, Ph. D. Exercises in mathematics |
| Research Interests | finite group, algebra, groupoid, representation, category, 2-category, category theory, functor, 2-functor, Burnside ring, representation ring, crossed Burnside ring, Mackey functor, Mackey 2-functor, Mackey 2-motive, Green functor, Tambara functor, Yoshida algebra, Mackey algebra |
| Selected Publications |
Lefschetz invariants and Young characters for representations of the hyperoctahedral groups, Journal of Algebra 512 (2018), 1-19 (15 October 2018). (Yugen Takegahara, Tomoyuki Yoshida) Categorical constructions related to finite groups, Sugaku Expositions 32 (1) 57-86 (June 2019). (Hiroyuki Nakaoka) Lattice Burnside rings, Algebra Universalis 81 (2020), no. 4, Paper No. 53, 32 pp. (Yugen Takegahara, Tomoyuki Yoshida) |
| Research and Achievements | |
| Affiliated Academic Societies | The Mathematical Society of Japan |
| Education (Undergraduate Course) |
Hokkaido university of education, Hakodate |
| Education (Master's/Doctral Course) |
Hokkaido University (Master of Science), Kumamoto University (Doctor of Science, Ph.D.) |
| Title of Thesis, Institute, Date | Generalized Burnside Rings and Mackey functors, Kumamoto University, September, 1997 |
| Biography | 1997. 10-2000. 3 : Japan Society of the Promotion of Science, Research fellow (PD), Hokkaido University 1997. 11-1998. 9：Research associate, University of Minnesota 2000. 4-2009. 3 : Toyama National College of Technology, Department of Liberal Arts, Assistant professor 2009. 4-2012. 3 : Yamgata University, Department of Mathematical Sciences, Associate professor 2013. 4-2019. 3 : Kindai University, Department of Mathematics, Associate professor 2019. 4 : Kindai University, Department of Mathematics, Professor |
Group Theory Laboratory
odaf（at）math.kindai.ac.jp
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