Matching of cocycle extensions for second tangent groups
Citation
Uçgun, F. Ç., Esen, O. & Sütlü, S. (2022). Matching of cocycle extensions for second tangent groups. Paper presented at the AIP Conference Proceedings, 2483. doi:10.1063/5.0114879Abstract
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.