- Lie bracket
Lie bracket can refer to:
*
Lie algebra
*Lie bracket of vector fields
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Lie bracket
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Lie bracket of vector fields — See Lie algebra for more on the definition of the Lie bracket and Lie derivative for the derivationIn the mathematical field of differential topology, the Lie bracket of vector fields or Jacobi ndash;Lie bracket is a bilinear differential… … Wikipedia
Lie group — Lie groups … Wikipedia
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Lie algebra representation — Lie groups … Wikipedia
Lie algebra — In mathematics, a Lie algebra is an algebraic structure whose main use is in studying geometric objects such as Lie groups and differentiable manifolds. Lie algebras were introduced to study the concept of infinitesimal transformations. The term… … Wikipedia
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Lie algebroid — In mathematics, Lie algebroids serve the same role in the theory of Lie groupoids that Lie algebras serve in the theory of Lie groups: reducing global problems to infinitesimal ones. Just as a Lie groupoid can be thought of as a Lie group with… … Wikipedia
Bracket (mathematics) — In mathematics, various typographical forms of brackets are frequently used in mathematical notation such as parentheses ( ), square brackets [ ] , curly brackets { }, and angle brackets < >. In the typical use, a mathematical expression is… … Wikipedia
Bracket — 〈 redirects here. It is not to be confused with く, a Japanese kana. This article is about bracketing punctuation marks. For other uses, see Bracket (disambiguation). Due to technical restrictions, titles like :) redirect here. For typographical… … Wikipedia
Lie coalgebra — In mathematics a Lie coalgebra is the dual structure to a Lie algebra.In finite dimensions, these are dual objects: the dual vector space to a Lie algebra naturally has the structure of a Lie coalgebra, and conversely.DefinitionLet E be a vector… … Wikipedia
