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Projective Representations of Abelian Groups

✍ Scribed by R.J Higgs

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
113 KB
Volume
242
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let G be a finite elementary abelian p-group. Given a 2-cocycle ␣ of G over the field of complex numbers, we show how to construct an irreducible projective representation of G with 2-cocycle in the cohomology class of ␣. Let S be a 2

Ε½

. subgroup of G of index dividing p . Then we also count in each possible case the number of cohomology classes in the Schur multiplier of G, whose corresponding irreducible projective representations behave the same upon restriction to S.

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