Shigeto KAWATA
E-mail：kawata@nsc.nagoya-cu.ac.jp
TEL：+81-52-872-5032
TEL：+81-52-872-5032
| Division | Mathematical and Material Science, Professor |
|---|---|
| Academic Degree | Ph.D. |
Contents of page
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.
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.
