The domain of definition of bundle representations

R. N. Sen

doi:10.1063/1.524876

The domain of definition of bundle representations

R. N. Sen

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

It is proved that the equivalence class of bundle representations of a group G on the product bundle script B sign₀ with total space B ₀ = X x Y includes all representations of G on bundles script B sign which are homeomorphic (but not necessarily naturally homeomorphic) to the product X x Y, provided that G has the same action on the fibres of script B sign₀ and script B sign. The group A of the bundle script B sign is immaterial.

Original language	English
Pages (from-to)	290-292
Number of pages	3
Journal	Journal of Mathematical Physics
Volume	22
Issue number	2
DOIs	https://doi.org/10.1063/1.524876
State	Published - 1 Jan 1980

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.524876

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abstract = "It is proved that the equivalence class of bundle representations of a group G on the product bundle script B sign0 with total space B 0 = X x Y includes all representations of G on bundles script B sign which are homeomorphic (but not necessarily naturally homeomorphic) to the product X x Y, provided that G has the same action on the fibres of script B sign0 and script B sign. The group A of the bundle script B sign is immaterial.",

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AB - It is proved that the equivalence class of bundle representations of a group G on the product bundle script B sign0 with total space B 0 = X x Y includes all representations of G on bundles script B sign which are homeomorphic (but not necessarily naturally homeomorphic) to the product X x Y, provided that G has the same action on the fibres of script B sign0 and script B sign. The group A of the bundle script B sign is immaterial.

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JF - Journal of Mathematical Physics

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The domain of definition of bundle representations

Abstract

ASJC Scopus subject areas

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