On the Arithmetic of Weight Spaces in the Root Lattice

DOI10.2307/2047377zbMath0681.17007OpenAlexW4250916081MaRDI QIDQ4729947

Robert W. Deckhart

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2047377

zbMATH Keywords

root systemroot latticeKostant's partition functionfundamental dominant weightsstrongly inductive formula

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (2)

The local Kostant-PBW ordering ⋮ Blocks in weight spaces in the root lattice

Cites Work

• Unnamed Item
• The Kostant cone and the combinatorial structure of the root lattice
• Modular maximal vectors and the Kostant cone
• Ordinary and modular representations of Chevalley groups
• Characters of Elements of Finite Order in Lie Groups
• On the regularity and rationality of certain elements of finite order in Lie groups.
• Fast recursion formula for weight multiplicities
• Introduction to Lie Algebras and Representation Theory

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