Induced Representations of Rings

Rieffel, Marc A.

Canadian journal of mathematics, Tome 27 (1975) no. 2, pp. 261-270

Résumé

At the beginning of the chapter on induced representations in the treatise of Curtis and Reiner [8] on representation theory, they write “Most of the results have not yet found suitable generalization to rings with minimum condition or finite dimensional algebras, ...”. The purpose of this paper is to indicate how some of the more basic theorems concerning induced representations can, in fact, be generalized to rings and algebras. In most cases we can do this by bringing together known results, so that in this sense this paper does not contain substantially new results.

Détail

DOI : 10.4153/CJM-1975-032-0

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