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About: Affine root system     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatLieAlgebrasyago:WikicatOrthogonalPolynomialsyago:Abstraction100002137yago:Algebra106012726yago:Cognition100023271yago:Content105809192yago:Discipline105996646yago:Function113783816yago:Group100031264yago:KnowledgeDomain105999266yago:MathematicalRelation113783581yago:Mathematics106000644yago:Polynomial105861855yago:PsychologicalFeature100023100yago:PureMathematics106003682yago:Relation100031921yago:Science105999797yago:WikicatDiscreteGroups New Facet based on Instances of this Class

In mathematics, an affine root system is a root system of affine-linear functions on a Euclidean space. They are used in the classification of affine Lie algebras and superalgebras, and semisimple p-adic algebraic groups, and correspond to families of Macdonald polynomials. The reduced affine root systems were used by Kac and Moody in their work on Kac–Moody algebras. Possibly non-reduced affine root systems were introduced and classified by and (except that both these papers accidentally omitted the Dynkin diagram ).