mathematics, a Kac–Moody algebra (named for Victor Kac and Robert Moody, who independently and simultaneously discovered them in 1968) is a Lie algebra, usually...
16 KB (2,467 words) - 18:26, 3 August 2024
Kac–Moody algebra is a Lie algebra that is similar to a Kac–Moody algebra, except that it is allowed to have imaginary simple roots. Generalized Kac–Moody...
7 KB (1,096 words) - 12:25, 21 February 2023
algebra, one can also form the associated affine Kac-Moody algebra, as described below. From a purely mathematical point of view, affine Lie algebras...
15 KB (2,491 words) - 03:19, 9 October 2024
In mathematics, the monster Lie algebra is an infinite-dimensional generalized Kac–Moody algebra acted on by the monster group, which was used to prove...
4 KB (514 words) - 15:59, 22 May 2024
algebra which is isomorphic with an untwisted affine Kac–Moody algebra. Using the centrally extended loop algebra one may construct a current algebra...
99 KB (17,702 words) - 00:04, 1 November 2024
construct the monster Lie algebra, an infinite-dimensional generalized Kac–Moody algebra acted on by the monster. The Griess algebra is the same as the degree...
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for his work in representation theory. He co-discovered Kac–Moody algebras, and used the Weyl–Kac character formula for them to reprove the Macdonald identities...
8 KB (738 words) - 01:36, 29 October 2024
Superstring theory (section Kac–Moody algebras)
describe string theory is based on infinite dimensional Lie algebras. Some Kac–Moody algebras that have been considered as symmetries for M-theory have...
26 KB (2,966 words) - 15:09, 8 September 2024
In mathematics, especially in Lie theory, En is the Kac–Moody algebra whose Dynkin diagram is a bifurcating graph with three branches of length 1, 2 and...
9 KB (1,481 words) - 22:05, 7 April 2024
Vaughan Moody, OC FRSC (/ˈmuːdi/; born November 28, 1941) is a Canadian mathematician. He is the co-discoverer of Kac–Moody algebra, a Lie algebra, usually...
7 KB (592 words) - 21:54, 3 August 2024