Matching of cocycle extensions for second tangent groups

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Tarih

2022-11-07

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