Note on mod p decompositions of gauge groups

Note on mod p decompositions of gauge groups

Daisuke Kishimoto and Akira Kono

Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 86, Number 1 (2010), 15-17.

Abstract

We give fibrewise mod p decompositions of the adjoint bundle of a principal G-bundle P when the topological group G has mod p decompositions by automorphisms as in [5], which imply mod p decompositions of the gauge group of P.

Primary Subjects: 57S05, 55R70

Keywords: Gauge group; mod $p$ decomposition

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pja/1262271518
Digital Object Identifier: doi:10.3792/pjaa.86.15
Zentralblatt MATH identifier: 05690868
Mathematical Reviews number (MathSciNet): MR2598819

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