The Demazure–Tits subgroup of a simple Lie group
Copyright policy )The Demazure–Tits subgroup of a simple Lie group
The Demazure–Tits subgroup of a simple Lie group G is the group of invariance of Clebsch–Gordan coefficients tables (assuming an appropriate choice of basis). The structure of the Demazure–Tits subgroups of An, Bn, Cn, Dn, and G2 is described. Orbits of the permutation action of the DT group in any irreducible finite-dimensional representation space of A2, C2, and G2 are decomposed into the sum of irreducible representations of the DT group.
elements of finite order, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Lie algebra, orbits, Clebsch-Gordan coefficients, Semisimple Lie groups and their representations, Demazure-Tits subgroup, generating function, Weyl group, character tables, Applications of Lie groups to the sciences; explicit representations, simple Lie group, Cartan matrix, irreducible representations, conjugacy classes
elements of finite order, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Lie algebra, orbits, Clebsch-Gordan coefficients, Semisimple Lie groups and their representations, Demazure-Tits subgroup, generating function, Weyl group, character tables, Applications of Lie groups to the sciences; explicit representations, simple Lie group, Cartan matrix, irreducible representations, conjugacy classes
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