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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Research Article| November 07 2022
Matching of cocycle extensions for second tangent groups
Filiz Çağatay Uçgun;
AIP Conf. Proc. 2483, 080002 (2022)
Filiz Çağatay Uçgun, Oğul Esen, Serkan Sütlü; Matching of cocycle extensions for second tangent groups. AIP Conf. Proc. 7 November 2022; 2483 (1): 080002. https://doi.org/10.1063/5.0114879
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