Matching of cocycle extensions for second tangent groups

Matching of cocycle extensions for second tangent groups

We present the second-order tangent group of a Lie group as a cocycle extension of the first-order tangent group. We exhibit matching of the second-order tangent groups of two mutually interacting Lie groups. We examine the cocycle extension character of the matched second-order group and arrive at...

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Veröffentlicht in:AIP conference proceedings 2022-11, Vol.2483 (1)
Hauptverfasser: Uçgun, Filiz Çağatay, Esen, Oğul, Sütlü, Serkan
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Lie groups
Matching
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Esen, Oğul
Sütlü, Serkan
description We present the second-order tangent group of a Lie group as a cocycle extension of the first-order tangent group. We exhibit matching of the second-order tangent groups of two mutually interacting Lie groups. We examine the cocycle extension character of the matched second-order group and arrive at that matched pair of cocycle extensions is a cocycle extension by itself.
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subjects Lie groups
Matching
title Matching of cocycle extensions for second tangent groups
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