Matching of cocycle extensions for second tangent groups
Küçük Resim Yok
Tarih
2022-11-07
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
American Institute of Physics Inc.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
OE and SS acknowledge the support by TÜBİTAK (the Scientific and Technological Research Council of Turkey) under the project “Matched pairs of Lagrangian and Hamiltonian Systems” with the project number 117F426.
Anahtar Kelimeler
Cocycle extensions, Matched pairs, Second tangent group
Kaynak
AIP Conference Proceedings
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
2483
Sayı
Künye
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:10.1063/5.0114879