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Representations of Algebraic Groups

Published online by Cambridge University Press:  22 January 2016

Robert Steinberg
Robert Steinberg*
Affiliation:
Institute for Advanced Study, Princeton, University of California, Los Angeles
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Our purpose here is to study the irreducible representations of semisimple algebraic groups of characteristic p 0, in particular the rational representations, and to determine all of the representations of corresponding finite simple groups. (Each algebraic group is assumed to be defined over a universal field which is algebraically closed and of infinite degree of transcendence over the prime field, and all of its representations are assumed to take place on vector spaces over this field.)

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 22 , June 1963 , pp. 33 - 56
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1963

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