Lagrangian dynamics on matched pairs

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Tarih

2017-01

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Elsevier Science BV

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

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