ACADSTAFF UGM
| Title | : | A Module Theory Approach on Generalization of Maschke Theorem and Schur’s Lemma in Representation Theory |
| Author | : |
NAIMAH HIJRIATI (1) Prof. Dr.rer.nat. Indah Emilia Wijayanti, S.Si., M.Si. (2) Dr. Budi Surodjo, M.Si. (3) Prof. Dr. Sri Wahyuni, S.U. (4) ARIF MUNANDAR (5) |
| Date | : | 0 2023 |
| Keyword | : | Representation of groups over modules,Generalized Maschke theorem,Generalized Schur's lemma. Representation of groups over modules,Generalized Maschke theorem,Generalized Schur's lemma. |
| Abstract | : | In this work we study representations of finite abelian groups over module over a principal ideal domain. Let G be a finite abelian group and M a module over a principal ideal domain R. A representation of G over M is a group homomorphism from G to the automorphisms on M over R. We use the fact that this M can be represented as an R[G]-module to generalize Maschke Theorem and Schur's Lemma. |
| Group of Knowledge | : | Matematika |
| Original Language | : | English |
| Level | : | Internasional |
| Status | : |
Published
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