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There is a page named "E8 Lie algebra" on Wikipedia
In mathematics, E8 is any of several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same...46 KB (6,107 words) - 23:33, 8 August 2024
An Exceptionally Simple Theory of Everything (redirect from E8 Theory)journal. The title is a pun on the algebra used, the Lie algebra of the largest "simple", "exceptional" Lie group, E8. The paper's goal is to describe how...22 KB (2,347 words) - 04:22, 12 February 2024- diagrams are: G2 : F4 : E6 : E7 : E8 : In contrast, simple Lie algebras that are not exceptional are called classical Lie algebras (there are infinitely many...3 KB (334 words) - 14:43, 1 July 2024
used to read off the list of simple Lie algebras and Riemannian symmetric spaces. Together with the commutative Lie group of the real numbers, R {\displaystyle...34 KB (2,262 words) - 15:54, 14 May 2024- mathematics, a Lie algebra (pronounced /liː/ LEE) is a vector space g {\displaystyle {\mathfrak {g}}} together with an operation called the Lie bracket, an...61 KB (10,457 words) - 02:56, 14 July 2024
- In algebra, a simple Lie algebra is a Lie algebra that is non-abelian and contains no nonzero proper ideals. The classification of real simple Lie algebras...3 KB (538 words) - 09:30, 11 October 2023
- infinite-dimensional affine Lie algebra Ẽ8 (also as E+ 8 or E(1) 8 as a (one-node) extended E8) (or E8 lattice) corresponding to the Lie algebra of type E8. E9 has a Cartan...9 KB (1,481 words) - 22:05, 7 April 2024
- "exceptional Lie algebras" that do not fall into any of these families. E8 is the largest of these. Lie groups are classified according to their algebraic properties...64 KB (9,427 words) - 05:48, 28 May 2024
- Lie algebra g {\displaystyle {\mathfrak {g}}} is solvable if its derived series terminates in the zero subalgebra. The derived Lie algebra of the Lie...11 KB (1,606 words) - 19:14, 8 August 2024
- E7 (mathematics) (redirect from E7 Lie algebra)Lie algebras, which fall into four infinite series labeled An, Bn, Cn, Dn, and five exceptional cases labeled E6, E7, E8, F4, and G2. The E7 algebra is...19 KB (2,766 words) - 21:58, 12 June 2024
- groups G2 F4 E6 E7 E8 Affine group Euclidean group Poincaré group Heisenberg group Commutator Jacobi identity Universal enveloping algebra Baker-Campbell-Hausdorff...4 KB (360 words) - 19:55, 10 January 2024
- Special unitary group (redirect from Special unitary Lie algebra)This (real) Lie algebra has dimension n2 − 1. More information about the structure of this Lie algebra can be found below in § Lie algebra structure. In...33 KB (5,453 words) - 23:03, 26 July 2024
- 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 non-zero...41 KB (5,731 words) - 17:17, 10 April 2024
- Lie groups, Lie algebras and their representation theory, a Lie algebra extension e is an enlargement of a given Lie algebra g by another Lie algebra...99 KB (17,698 words) - 17:57, 4 July 2024
Representation theory (section Lie algebras)objects amenable to such a description include groups, associative algebras and Lie algebras. The most prominent of these (and historically the first) is the...55 KB (7,184 words) - 17:41, 8 July 2024- F4 (mathematics) (category Exceptional Lie algebras)In mathematics, F4 is a Lie group and also its Lie algebra f4. It is one of the five exceptional simple Lie groups. F4 has rank 4 and dimension 52. The...8 KB (973 words) - 18:39, 7 August 2024
- of representation theory, a Lie algebra representation or representation of a Lie algebra is a way of writing a Lie algebra as a set of matrices (or endomorphisms...28 KB (4,308 words) - 17:20, 8 November 2023
- Virasoro algebra (named after the physicist Miguel Ángel Virasoro) is a complex Lie algebra and the unique central extension of the Witt algebra. It is...20 KB (3,222 words) - 13:15, 5 June 2024
- In mathematics, the special linear Lie algebra of order n over a field F {\displaystyle F} , denoted s l n F {\displaystyle {\mathfrak {sl}}_{n}F} or...11 KB (1,938 words) - 15:09, 7 July 2024
- Root system (category Lie algebras)the theory of Lie groups and Lie algebras, especially the classification and representation theory of semisimple Lie algebras. Since Lie groups (and some...52 KB (6,237 words) - 06:58, 7 July 2024
- construction of all the compact Lie groups. But there's nothing like that for the sporadic groups. (January 23, 2023)"Richard Borchers: E8, Witten, Langlands Modular
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- manifolds) The following structures are algebraic and very rigid, and admit elegant algebraic classifications: Lie groups symmetric spaces (and homogeneous