Classification of minimal locally affine Lie algebras (Q2099283)

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scientific article; zbMATH DE number 7622351
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Classification of minimal locally affine Lie algebras
scientific article; zbMATH DE number 7622351

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    Classification of minimal locally affine Lie algebras (English)
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    23 November 2022
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    A locally affine Lie algebra is an infinite-rank analog of an affine Lie algebra. More precisely, a locally affine Lie algebra is a tame locally extended affine Lie algebra of rank \(1\). The paper classifies locally affine Lie algebras and gives a condition for a minimal locally affine Lie algebra to be isomorphic to a standard minimal locally affine Lie algebra containing the so-called degree derivation.
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    locally extended affine Lie algebra
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    locally affine Lie algebra
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    loop algebra
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    twisted loop algebra
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