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The Ring of Equivariant Vector Bundles on Finite Sets

✍ Scribed by S.J. Witherspoon

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 576 KB
Volume: 175
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1995.1186

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✦ Synopsis

For a finite group, we define a ring of equivariant vector bundles on finite sets which is an expanded version of the Green ring of representations of the group. We give a new proof of a decomposition of this ring into a direct sum of ideals. We use this decomposition to present Boltje's derivation of an explicit formula for Conlon induction. We show that some properties of characters of the Green ring have analogs for this ring of vector bundles. (1995 Academic Press, Inc.

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