The Kostant cone and the combinatorial structure of the root lattice

DOI10.1016/0021-8693(89)90238-XzbMath0677.17006MaRDI QIDQ1123250

Robert W. Deckhart

Publication date: 1989

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

root systemhighest weight moduleroot latticeKostant coneKostant partition functionsroot weights

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (5)

On the Arithmetic of Weight Spaces in the Root Lattice ⋮ Modular maximal vectors and the Kostant cone ⋮ The local Kostant-PBW ordering ⋮ A_nmodular maximal vectors, I: bases, rank 2 families, and an introduction to products ⋮ Blocks in weight spaces in the root lattice

Cites Work

• On the combinatorics of Kostant's partition function
• Representations of Coxeter groups and Hecke algebras
• Introduction to Lie Algebras and Representation Theory
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