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There is a page named "Lie group decompositions" on Wikipedia
- In mathematics, Lie group decompositions are used to analyse the structure of Lie groups and associated objects, by showing how they are built up out of...3 KB (346 words) - 19:47, 22 May 2024
- In mathematics, the Cartan decomposition is a decomposition of a semisimple Lie group or Lie algebra, which plays an important role in their structure...9 KB (1,499 words) - 11:48, 18 June 2023
Gram–Schmidt process (redirect from Gram-Schmidt decomposition)before Gram and Schmidt. In the theory of Lie group decompositions, it is generalized by the Iwasawa decomposition. The application of the Gram–Schmidt process...25 KB (4,351 words) - 02:43, 17 June 2024- theorem, decomposition of a measure Lie group decomposition, used to analyse the structure of Lie groups and associated objects Manifold decomposition, decomposition...3 KB (370 words) - 00:14, 17 May 2024
- In mathematics, the Iwasawa decomposition (aka KAN from its expression) of a semisimple Lie group generalises the way a square real matrix can be written...5 KB (989 words) - 21:31, 16 October 2022
- another Lie algebra. The Levi decomposition also fails for finite-dimensional algebras over fields of positive characteristic. Lie group decompositions Killing...5 KB (483 words) - 20:07, 10 January 2024
- Local Lie group Formal group law Hilbert's fifth problem Hilbert-Smith conjecture Lie group decompositions Real form (Lie theory) Complex Lie group Complexification...4 KB (360 words) - 19:55, 10 January 2024
In mathematics, a Lie group (pronounced /liː/ LEE) is a group that is also a differentiable manifold, such that group multiplication and taking inverses...64 KB (9,427 words) - 05:48, 28 May 2024- universal complexification of a real Lie group is given by a continuous homomorphism of the group into a complex Lie group with the universal property that...52 KB (7,216 words) - 14:30, 2 December 2022
- B_{-}w_{2}B_{-}).} Lie group decompositions Birkhoff factorization, a special case of the Bruhat decomposition for affine groups. Cluster algebra This Week's...5 KB (664 words) - 18:55, 10 January 2024
- analogues in Lie algebras. Analogues of the Jordan–Chevalley decomposition also exist for elements of Linear algebraic groups and Lie groups via a multiplicative...41 KB (5,900 words) - 22:24, 9 July 2024
- Jordan–Chevalley decomposition of a matrix Deligne–Lusztig theory, and its Jordan decomposition of a character of a finite group of Lie type The Jordan–Hölder...422 bytes (87 words) - 21:18, 29 November 2011
- {\displaystyle P} . This decomposition is useful in computing the fundamental group of (matrix) Lie groups. The polar decomposition can also be defined as...25 KB (4,220 words) - 03:42, 18 May 2024
- In mathematics, a Lie algebra is semisimple if it is a direct sum of simple Lie algebras. (A simple Lie algebra is a non-abelian Lie algebra without any...41 KB (5,731 words) - 17:17, 10 April 2024
- a Lie group is a linear action of a Lie group on a vector space. Equivalently, a representation is a smooth homomorphism of the group into the group of...34 KB (5,242 words) - 12:15, 30 June 2024
- algebras are closely related to Lie groups, which are groups that are also smooth manifolds: every Lie group gives rise to a Lie algebra, which is the tangent...61 KB (10,457 words) - 02:56, 14 July 2024
- Tangent Lie group Tate Lie algebra Toral Lie algebra Lie bracket of vector fields Lie derivative Lie group Lie group decomposition Lie groupoid Lie subgroup...2 KB (252 words) - 05:29, 18 December 2022
- the Lie algebra parameters have names: angle, hyperbolic angle, and slope. These species of angle are useful for providing polar decompositions which...10 KB (1,250 words) - 00:33, 3 February 2023
- {\displaystyle P} to G {\displaystyle G} . Lie group decompositions A. W. Knapp, Structure theory of semisimple Lie groups. ISBN 0-8218-0609-2. v t e...1 KB (136 words) - 21:00, 10 January 2024
- graph into subsets, such that the vertices in each subset lie on a cycle Cycle decomposition (group theory), a useful convention for expressing a permutation...596 bytes (113 words) - 17:20, 9 November 2016
- youth, much decomposed, was all that rewarded our labor. In mound No. 3 no human remains or objects of interest occurred. The second group of mounds surveyed
- with, and not against, movement. Then we shall be static and shall not decompose. Then there will be neither good nor evil, neither beauty nor unsightliness
- Topological Space Group Theory and Symmetry (M) Finite Groups Symmetry in Chemical compounds Lie Groups (M) Continuous symmetric groups Appendices Solutions