Lagrangian dynamics on matched pairs
Yükleniyor...
Dosyalar
Tarih
2017-01
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science BV
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Given a matched pair of Lie groups, we show that the tangent bundle of the matched pair group is isomorphic to the matched pair of the tangent groups. We thus obtain the Euler–Lagrange equations on the trivialized matched pair of tangent groups, as well as the Euler–Poincaré equations on the matched pair of Lie algebras. We show explicitly how these equations cover those of the semi-direct product theory. In particular, we study the trivialized, and the reduced Lagrangian dynamics on the group SL(2,C).
Açıklama
Anahtar Kelimeler
Euler–Poincaré equations, Lagrangian reduction, Matched pair of Lie algebras, Matched pair of Lie groups, Trivialized Euler–Lagrange equations, Lie-groups, Semidirect products, Hopf-algebras, Reduction, Poisson, Mechanics, Systems, Lagrangian, Lagrangian function, Optimal control
Kaynak
Journal of Geometry and Physics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
111
Sayı
Künye
Esen, O. & Sütlü, S. S. (2017). Lagrangian dynamics on matched pairs. Journal of Geometry and Physics, 111, 142-157. doi:10.1016/j.geomphys.2016.10.005
