Affine root system
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 File:Dyn-node.pngFile:Dyn-4b.pngFile:Dyn-nodeg.pngFile:Dyn-4a.pngFile:Dyn-node.png).
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Affine root system
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 File:Dyn-node.pngFile:Dyn-4b.pngFile:Dyn-nodeg.pngFile:Dyn-4a.pngFile:Dyn-node.png).
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In mathematics, an affine root ...... :Dyn-4a.pngFile:Dyn-node.png).
@en
数学において，アフィンルート系（英: affine root ...... イル:Dyn-node.png を省いていたことを除いて）．
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In mathematics, an affine root ...... :Dyn-4a.pngFile:Dyn-node.png).
@en
数学において，アフィンルート系（英: affine root ...... イル:Dyn-node.png を省いていたことを除いて）．
@ja
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Affine root system
@en
アフィンルート系
@ja
