Covariant central extensions of gauge Lie algebras

Bas Janssens; Karl-Hermann Neeb

doi:10.1007/978-3-319-63453-1_6

Covariant central extensions of gauge Lie algebras

Bas Janssens, Karl-Hermann Neeb

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Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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Abstract

Motivated by positive energy representations , we classify those continuous central extensions of the compactly supported gauge Lie algebra that are covariant under a 1-parameter group of transformations of the base manifold.

Original language	English
Title of host publication	2015 Workshop Classic and Stochastic Geometric Mechanics
Publisher	Springer
Pages	101-114
Number of pages	14
DOIs	https://doi.org/10.1007/978-3-319-63453-1_6
Publication status	Published - 20 Nov 2017
Event	Workshop Classic and Stochastic Geometric Mechanics 2015 - Lausanne, France Duration: 8 Jun 2015 → 11 Jun 2015

Conference

Conference	Workshop Classic and Stochastic Geometric Mechanics 2015
Abbreviated title	CIB-SGM 2015
Country/Territory	France
City	Lausanne
Period	8/06/15 → 11/06/15

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10.1007/978-3-319-63453-1_6

Cite this

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title = "Covariant central extensions of gauge Lie algebras",

abstract = "Motivated by positive energy representations , we classify those continuous central extensions of the compactly supported gauge Lie algebra that are covariant under a 1-parameter group of transformations of the base manifold.",

author = "Bas Janssens and Karl-Hermann Neeb",

year = "2017",

month = nov,

day = "20",

doi = "10.1007/978-3-319-63453-1_6",

language = "English",

pages = "101--114",

booktitle = "2015 Workshop Classic and Stochastic Geometric Mechanics",

publisher = "Springer",

note = "Workshop Classic and Stochastic Geometric Mechanics 2015, CIB-SGM 2015 ; Conference date: 08-06-2015 Through 11-06-2015",

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TY - GEN

T1 - Covariant central extensions of gauge Lie algebras

AU - Janssens, Bas

AU - Neeb, Karl-Hermann

PY - 2017/11/20

Y1 - 2017/11/20

N2 - Motivated by positive energy representations , we classify those continuous central extensions of the compactly supported gauge Lie algebra that are covariant under a 1-parameter group of transformations of the base manifold.

AB - Motivated by positive energy representations , we classify those continuous central extensions of the compactly supported gauge Lie algebra that are covariant under a 1-parameter group of transformations of the base manifold.

U2 - 10.1007/978-3-319-63453-1_6

DO - 10.1007/978-3-319-63453-1_6

M3 - Conference contribution

SP - 101

EP - 114

BT - 2015 Workshop Classic and Stochastic Geometric Mechanics

PB - Springer

T2 - Workshop Classic and Stochastic Geometric Mechanics 2015

Y2 - 8 June 2015 through 11 June 2015

ER -

Covariant central extensions of gauge Lie algebras

Abstract

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