Some remarks on representations of jet groups and gauge groups

S. Albeverio; B. Torresani

doi:10.1063/1.530821

Some remarks on representations of jet groups and gauge groups

S. Albeverio, B. Torresani

King Fahd University of Petroleum & Minerals

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

1 Scopus citations

Abstract

Irreducible unitary representations of the three first jet (or Leibniz) extensions G_m^k of a compact group G are studied, focusing on the neighborhood of the trivial representation. Some associated irreducible unitary (continuous tensor product) representations of the gauge (or current) groups of mappings from a Riemannian manifold into G_m^k are described.

Original language	English
Pages (from-to)	4897-4908
Number of pages	12
Journal	Journal of Mathematical Physics
Volume	35
Issue number	9
DOIs	https://doi.org/10.1063/1.530821
State	Published - 1994

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.530821

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abstract = "Irreducible unitary representations of the three first jet (or Leibniz) extensions Gmk of a compact group G are studied, focusing on the neighborhood of the trivial representation. Some associated irreducible unitary (continuous tensor product) representations of the gauge (or current) groups of mappings from a Riemannian manifold into Gmk are described.",

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AU - Torresani, B.

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AB - Irreducible unitary representations of the three first jet (or Leibniz) extensions Gmk of a compact group G are studied, focusing on the neighborhood of the trivial representation. Some associated irreducible unitary (continuous tensor product) representations of the gauge (or current) groups of mappings from a Riemannian manifold into Gmk are described.

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DO - 10.1063/1.530821

M3 - Article

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SP - 4897

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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Some remarks on representations of jet groups and gauge groups

Abstract

ASJC Scopus subject areas

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