Matching of Cocycle Extensions for Second Tangent Groups
5th International Conference of Mathematical Sciences, ICMS 2021, İstanbul, Turkey, 23 - 27 June 2021, vol.2483, (Full Text)
- Publication Type: Conference Paper / Full Text
- Volume: 2483
- Doi Number: 10.1063/5.0114879
- City: İstanbul
- Country: Turkey
- Keywords: Cocycle Extensions, Matched Pairs, Second Tangent Group
- Kocaeli University Affiliated: No
Abstract
© 2022 American Institute of Physics Inc.. All rights reserved.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.