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Constructing Graded Lie Algebras

Meighan I. Dillon
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Abstract

The Z-grading determined by a long simple root of an affine or finite type Lie algebra arises from an adjoint or cominuscule representation of a lower rank semi-simple complex Lie algebra. Analysis of the relationship between the grading and the representation leads to an extension of Kac's construction of nontwisted affine Lie algebras.

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BibTeXRIS

Meighan I. Dillon. 2004-12-08. Constructing Graded Lie Algebras. https://arxiv.org/abs/math/0412179

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