2004/12/08 by Meighan I. Dillon, Dillon, Meighan I.
Mathematics · #17B10 #17B67 #17B70 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:17B10 #msc:17B67 #msc:17B70
paper · pdf · doi:10.48550/arxiv.math/0412179
44 pages, 2 figures
arxiv created 2004/12/08 · openalex publication_date 2004/12/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.