Twisted group algebras and their representations
- 1 February 1964
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 4 (2) , 152-173
- https://doi.org/10.1017/s1446788700023363
Abstract
Let be a finite group, a field. A twisted group algebra A() on over is an associative algebra whose elements are the formal linear combinations and in which the product (A)(B) is a non-zero multiple of (AB), where AB is the group product of A, B ∈: . One gets the ordinary group algebra () by taking each fA, B ≠ 1.Keywords
This publication has 17 references indexed in Scilit:
- The structure of some induced representationsDuke Mathematical Journal, 1962
- On the Reduction of Induced Representations of Finite GroupsAmerican Journal of Mathematics, 1962
- Blocks and centres of group algebrasMathematische Zeitschrift, 1961
- Relative Homological AlgebraTransactions of the American Mathematical Society, 1956
- Relative homological algebraTransactions of the American Mathematical Society, 1956
- Zur Darstellungstheorie der Gruppen endlicher OrdnungMathematische Zeitschrift, 1955
- Indecomposable representations at characteristic pDuke Mathematical Journal, 1954
- Modules with a group of operatorsDuke Mathematical Journal, 1954
- Some Studies on Regular Representations, Induced Representations and Modular RepresentationsAnnals of Mathematics, 1938
- Representations Induced in an Invariant SubgroupAnnals of Mathematics, 1937