Mathematics – Representation Theory
Scientific paper
2004-12-08
Mathematics
Representation Theory
44 pages, 2 figures
Scientific paper
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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