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Elements of General Representation Theory

Bertram HuppertNorman Blackburn

subject

Pure mathematicsIrreducible representationTrivial representationOrder (ring theory)Algebraically closed fieldReal representationRepresentation theoryMathematics

description

In Chapter V, classical representation theory was studied. This is the theory of the group-ring KG and the KG-modules, where K is an algebraically closed field of characteristic 0. (Many theorems remain valid under the hypothesis that K is algebraically closed and that char K does not divide the order of G). In this case, KG is semisimple and all KG-modules are completely reducible. For many purposes it is therefore sufficient to handle the irreducible representations.

https://doi.org/10.1007/978-3-642-67994-0_1