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Induced Representations of Rings

Published online by Cambridge University Press:  20 November 2018

Marc A. Rieffel
Marc A. Rieffel*
Affiliation:
The University of California, Berkeley, California
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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 2 , 01 April 1975 , pp. 261 - 270
Copyright
Copyright © Canadian Mathematical Society 1975

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