Linear representations of certain compact semigroups

Brown, D. R.; Friedberg, Michael

doi:10.1090/S0002-9947-1971-0281830-2

Linear representations of certain compact semigroups
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by D. R. Brown and Michael Friedberg PDF

Trans. Amer. Math. Soc. 160 (1971), 453-465 Request permission

Abstract:

In this paper we initiate the study of representation theory of compact, not necessarily commutative, uniquely divisible semigroups. We show that a certain class of semigroups are all topologically isomorphic to real matrix semigroups. The proof utilizes a group embedding theorem and the standard results on homomorphisms of Lie groups into matrix groups.

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