Matching of Cocycle Extensions for Second Tangent Groups

Abstract

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. © 2022 Elsevier B.V., All rights reserved.