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- Kac–Moody_algebra abstract "In mathematics, a Kac–Moody algebra (named for Victor Kac and Robert Moody, who independently discovered them) is a Lie algebra, usually infinite-dimensional, that can be defined by generators and relations through a generalized Cartan matrix. These algebras form a generalization of finite-dimensional semisimple Lie algebras, and many properties related to the structure of a Lie algebra such as its root system, irreducible representations, and connection to flag manifolds have natural analogues in the Kac–Moody setting.A class of Kac–Moody algebras called affine Lie algebras is of particular importance in mathematics and theoretical physics, especially conformal field theory and the theory of exactly solvable models. Kac discovered an elegant proof of certain combinatorial identities, the Macdonald identities, which is based on the representation theory of affine Kac–Moody algebras. Howard Garland and James Lepowsky demonstrated that Rogers–Ramanujan identities can be derived in a similar fashion.".
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- Kac–Moody_algebra wikiPageWikiLink Adjoint_representation_of_a_Lie_algebra.
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- Kac–Moody_algebra wikiPageWikiLink Cartan_matrix.
- Kac–Moody_algebra wikiPageWikiLink Cartan_subalgebra.
- Kac–Moody_algebra wikiPageWikiLink Category:Lie_algebras.
- Kac–Moody_algebra wikiPageWikiLink Claude_Chevalley.
- Kac–Moody_algebra wikiPageWikiLink Complex_number.
- Kac–Moody_algebra wikiPageWikiLink Complexification.
- Kac–Moody_algebra wikiPageWikiLink Conformal_field_theory.
- Kac–Moody_algebra wikiPageWikiLink Diagonal_matrix.
- Kac–Moody_algebra wikiPageWikiLink Direct_sum.
- Kac–Moody_algebra wikiPageWikiLink Dual_space.
- Kac–Moody_algebra wikiPageWikiLink Dynkin_diagram.
- Kac–Moody_algebra wikiPageWikiLink Generalized_Kac–Moody_algebra.
- Kac–Moody_algebra wikiPageWikiLink Generalized_flag_variety.
- Kac–Moody_algebra wikiPageWikiLink Generator_(mathematics).
- Kac–Moody_algebra wikiPageWikiLink Graded_Lie_algebra.
- Kac–Moody_algebra wikiPageWikiLink Harish-Chandra.
- Kac–Moody_algebra wikiPageWikiLink Integer.
- Kac–Moody_algebra wikiPageWikiLink Integrable_system.
- Kac–Moody_algebra wikiPageWikiLink Isaiah_Kantor.
- Kac–Moody_algebra wikiPageWikiLink Jacobi_identity.
- Kac–Moody_algebra wikiPageWikiLink James_Lepowsky.
- Kac–Moody_algebra wikiPageWikiLink Jean-Pierre_Serre.
- Kac–Moody_algebra wikiPageWikiLink Journal_of_Algebra.
- Kac–Moody_algebra wikiPageWikiLink Lie_algebra.
- Kac–Moody_algebra wikiPageWikiLink Lie_algebra_representation.
- Kac–Moody_algebra wikiPageWikiLink Linear_independence.
- Kac–Moody_algebra wikiPageWikiLink Macdonald_identities.
- Kac–Moody_algebra wikiPageWikiLink Mathematics.
- Kac–Moody_algebra wikiPageWikiLink Nathan_Jacobson.
- Kac–Moody_algebra wikiPageWikiLink Positive-definite_matrix.
- Kac–Moody_algebra wikiPageWikiLink Rank_(linear_algebra).
- Kac–Moody_algebra wikiPageWikiLink Real_number.
- Kac–Moody_algebra wikiPageWikiLink Robert_Moody.
- Kac–Moody_algebra wikiPageWikiLink Rogers–Ramanujan_identities.
- Kac–Moody_algebra wikiPageWikiLink Root_system.
- Kac–Moody_algebra wikiPageWikiLink Root_system_of_a_semi-simple_Lie_algebra.
- Kac–Moody_algebra wikiPageWikiLink Semisimple_Lie_algebra.
- Kac–Moody_algebra wikiPageWikiLink Shrawan_Kumar.
- Kac–Moody_algebra wikiPageWikiLink Sign_(mathematics).
- Kac–Moody_algebra wikiPageWikiLink Simple_Lie_group.
- Kac–Moody_algebra wikiPageWikiLink Symmetric_matrix.
- Kac–Moody_algebra wikiPageWikiLink Theoretical_physics.
- Kac–Moody_algebra wikiPageWikiLink Vector_space.
- Kac–Moody_algebra wikiPageWikiLink Victor_Kac.
- Kac–Moody_algebra wikiPageWikiLink Weyl_character_formula.
- Kac–Moody_algebra wikiPageWikiLink Wilhelm_Killing.
- Kac–Moody_algebra wikiPageWikiLink Élie_Cartan.
- Kac–Moody_algebra wikiPageWikiLinkText "Kac–Moody algebra".
- Kac–Moody_algebra wikiPageWikiLinkText "Kac–Moody algebra".
- Kac–Moody_algebra wikiPageWikiLinkText "Kac–Moody groups".
- Kac–Moody_algebra wikiPageWikiLinkText "Kac–Moody".
- Kac–Moody_algebra wikiPageWikiLinkText "affine Kac–Moody algebras".
- Kac–Moody_algebra id "K/k055050".
- Kac–Moody_algebra title "Kac–Moody algebra".
- Kac–Moody_algebra wikiPageUsesTemplate Template:Reflist.
- Kac–Moody_algebra wikiPageUsesTemplate Template:Springer.
- Kac–Moody_algebra subject Category:Lie_algebras.
- Kac–Moody_algebra hypernym Algebra.
- Kac–Moody_algebra type Algebra.
- Kac–Moody_algebra type Redirect.
- Kac–Moody_algebra comment "In mathematics, a Kac–Moody algebra (named for Victor Kac and Robert Moody, who independently discovered them) is a Lie algebra, usually infinite-dimensional, that can be defined by generators and relations through a generalized Cartan matrix.".
- Kac–Moody_algebra label "Kac–Moody algebra".
- Kac–Moody_algebra sameAs Q856666.
- Kac–Moody_algebra sameAs Algèbre_de_Kac-Moody.
- Kac–Moody_algebra sameAs カッツ・ムーディ代数.
- Kac–Moody_algebra sameAs 카츠-무디_대수.
- Kac–Moody_algebra sameAs Kac-Moody-algebra.
- Kac–Moody_algebra sameAs Álgebra_de_Kac-Moody.
- Kac–Moody_algebra sameAs m.04b8zm.
- Kac–Moody_algebra sameAs Kac-Moody_cebiri.
- Kac–Moody_algebra sameAs Q856666.
- Kac–Moody_algebra sameAs 卡茨-穆迪代数.
- Kac–Moody_algebra wasDerivedFrom Kac–Moody_algebra?oldid=707384998.
- Kac–Moody_algebra isPrimaryTopicOf Kac–Moody_algebra.