Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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(4) Let G be a finite abelian group. Let V + {0} be an irreducible CG-module of
finite degree.
(a)
Let he G. Write
Th: VV,
*A(v) = h v.
Show that m is an isomorphism of CG-modules
(b)
Show that ,= A for some A, EC.
Show that deg(V)- 1
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Transcribed Image Text:(4) Let G be a finite abelian group. Let V + {0} be an irreducible CG-module of finite degree. (a) Let he G. Write Th: VV, *A(v) = h v. Show that m is an isomorphism of CG-modules (b) Show that ,= A for some A, EC. Show that deg(V)- 1 What do you exactly need?
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