Shigeto KAWATA
- Division
- Mathematical and Material Science, Professor
- Academic Degree
- Ph.D.
| Research Field | Algebra |
|---|---|
| Keywords | Algebras, Finite Groups, Representation Theory |
| Current Research Topics | We study modular representation theory of finite groups. In particular, we investigate Auslander-Reiten quivers of group algebras of finite groups over fields of positive characteristic. Also, we are interested in integral representation theory of finite groups and their Auslander-Reiten quivers. |
| Selected Publications | On Auslander-Reiten components and height zero lattices for integral group rings, Algebras and Representation Theory 17 (2014), pp. 1603-1613. On Auslander-Reiten components and Heller lattices for integral group rings, Algebras and Representation Theory 9 (2006), pp. 513-524. On Heller lattices over ramified extended orders, Journal of Pure and Applied Algebra 202 (2005), pp. 55-71. On Auslander-Reiten components and simple modules for finite group algebras, Osaka Journal of Mathematics 34 (1997), pp. 681-688. Module correspondence in Auslander-Reiten quivers for finite groups, Osaka Journal of Mathematics 26 (1989), pp. 671-678. |