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- Maurer–Cartan_form abstract "In mathematics, the Maurer–Cartan form for a Lie group G is a distinguished differential one-form on G that carries the basic infinitesimal information about the structure of G. It was much used by Élie Cartan as a basic ingredient of his method of moving frames, and bears his name together with that of Ludwig Maurer.As a one-form, the Maurer–Cartan form is peculiar in that it takes its values in the Lie algebra associated to the Lie group G. The Lie algebra is identified with the tangent space of G at the identity, denoted TeG. The Maurer–Cartan form ω is thus a one-form defined globally on G which is a linear mapping of the tangent space TgG at each g ∈ G into TeG. It is given as the pushforward of a vector in TgG along the left-translation in the group:".
- Maurer–Cartan_form wikiPageID "964177".
- Maurer–Cartan_form wikiPageRevisionID "581616423".
- Maurer–Cartan_form subject Category:Differential_geometry.
- Maurer–Cartan_form subject Category:Equations.
- Maurer–Cartan_form subject Category:Lie_groups.
- Maurer–Cartan_form comment "In mathematics, the Maurer–Cartan form for a Lie group G is a distinguished differential one-form on G that carries the basic infinitesimal information about the structure of G. It was much used by Élie Cartan as a basic ingredient of his method of moving frames, and bears his name together with that of Ludwig Maurer.As a one-form, the Maurer–Cartan form is peculiar in that it takes its values in the Lie algebra associated to the Lie group G.".
- Maurer–Cartan_form label "Maurer-Cartan-Form".
- Maurer–Cartan_form label "Maurer–Cartan form".
- Maurer–Cartan_form label "モーレー・カルタンの微分形式".
- Maurer–Cartan_form label "马尤厄-嘉当形式".
- Maurer–Cartan_form sameAs Maurer%E2%80%93Cartan_form.
- Maurer–Cartan_form sameAs Maurer-Cartan-Form.
- Maurer–Cartan_form sameAs モーレー・カルタンの微分形式.
- Maurer–Cartan_form sameAs 마우러-카르탕_형식.
- Maurer–Cartan_form sameAs Q552787.
- Maurer–Cartan_form sameAs Q552787.
- Maurer–Cartan_form wasDerivedFrom Maurer–Cartan_form?oldid=581616423.