✦ LIBER ✦

Projective G-sets

✍ Scribed by I. Lizasoain; G. Ochoa

Book ID: 104152859
Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 653 KB
Volume: 126
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(96)00138-7

No coin nor oath required. For personal study only.

✦ Synopsis

There are many analogies between permutation representations and linear representations. Nevertheless, no version of projective representations is known in the context of the Bumside ring. In this paper, a decomposition theorem of irreducible G-sets similar to Clifford's one which expresses an irreducible linear representation as a product of two projective representations is obtained. As a consequence, the definition of the induction in the Bumside ring is given through the wreath product of symmetric groups. @

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