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There is a page named "Lie-admissible algebra" on Wikipedia
- In algebra, a Lie-admissible algebra, introduced by A. Adrian Albert (1948), is a (possibly non-associative) algebra that becomes a Lie algebra under the...2 KB (198 words) - 14:57, 18 January 2024
- ab − ba. Examples include alternative algebras, Malcev algebras and Lie-admissible algebras. Jordan-admissible algebra Albert, A. Adrian (1948), "Power-associative...1 KB (122 words) - 23:13, 16 January 2022
- In mathematics, an admissible algebra is a (possibly non-associative) commutative algebra whose enveloping Lie algebra of derivations splits into the...808 bytes (61 words) - 21:35, 9 November 2016
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- algebra that becomes a Jordan algebra under the product a ∘ b = ab + ba. Malcev-admissible algebra Lie-admissible algebra Okubo 1995, pp. 19, 84 Albert...2 KB (192 words) - 23:11, 16 January 2022
- Unitary representation (redirect from Unitary representation of a real Lie algebra)reductive Lie groups. All irreducible unitary representations are admissible (or rather their Harish-Chandra modules are), and the admissible representations...7 KB (980 words) - 13:33, 11 June 2024
- Iwahori–Hecke algebra, or Hecke algebra, named for Erich Hecke and Nagayoshi Iwahori, is a deformation of the group algebra of a Coxeter group. Hecke algebras are...15 KB (2,065 words) - 02:50, 20 June 2024
- In mathematics, a Malcev algebra (or Maltsev algebra or Moufang–Lie algebra) over a field is a nonassociative algebra that is antisymmetric, so that x...2 KB (329 words) - 18:43, 23 March 2021
Reductive group (redirect from Reductive Lie group)over any algebraically closed field. In particular, the simple algebraic groups are classified by Dynkin diagrams, as in the theory of compact Lie groups...55 KB (7,845 words) - 18:28, 24 April 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- studied by Susumu Okubo. Okubo algebras are composition algebras, flexible algebras (A(BA) = (AB)A), Lie admissible algebras, and power associative, but...7 KB (830 words) - 15:50, 21 February 2024
- Representation theory of SL2(R) (category Representation theory of Lie groups)basis H, X, Y for the complexification of the Lie algebra of SL(2, R) so that iH generates the Lie algebra of a compact Cartan subgroup K (so in particular...14 KB (1,827 words) - 22:29, 27 March 2024
- mathematics, admissible representations are a well-behaved class of representations used in the representation theory of reductive Lie groups and locally...4 KB (546 words) - 05:31, 9 January 2022
- is Lie-admissible. If A is alternative then so is any homotope of A, and any mutation of A is Malcev-admissible. Any isotope of a Hurwitz algebra is isomorphic...5 KB (588 words) - 23:26, 19 August 2022
- Formal group law (redirect from Formal Lie group)intermediate between Lie groups (or algebraic groups) and Lie algebras. They are used in algebraic number theory and algebraic topology. A one-dimensional...25 KB (3,592 words) - 02:39, 27 June 2024
- related to C2-cofiniteness. A vertex operator algebra V {\displaystyle V} is rational if the category of admissible modules is semisimple and there are only...8 KB (1,181 words) - 21:20, 1 February 2024
- A* search algorithm (section Admissibility)to be admissible if it is guaranteed to return an optimal solution. If the heuristic function used by A* is admissible, then A* is admissible. An intuitive...39 KB (4,796 words) - 07:18, 28 June 2024
- Bianchi classification (category Lie algebras)complex Lie algebras. Dimension 0: The only Lie algebra is the abelian Lie algebra R0. Dimension 1: The only Lie algebra is the abelian Lie algebra R1, with...47 KB (6,581 words) - 05:30, 22 June 2024
- Gröbner basis (redirect from Saturation (commutative algebra))and more specifically in computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular kind...61 KB (9,883 words) - 06:06, 6 June 2024
the inner product on W, the Lie algebra of G, and the direct sum decomposition of the Lie algebra of G into the Lie algebra of K and W. This reduces the...60 KB (8,581 words) - 18:08, 18 July 2024
- significance extends far beyond the boundaries of number theory into the realm of algebra and the theory of functions. To speak of a very different region of research
- History of algebra is the history of the study of mathematical symbols and the rules for manipulating these symbols, a unifying thread for almost all
- Dessins d’enfants and Hubbard trees by Kevin M. Pilgrim Admissibility of kneading sequences and structure of Hubbard trees for quadratic polynomials