Extremal Bases for the Adjoint Representations of the Simple Lie Algebras

DOI10.1080/00927870600860874zbMath1149.17004OpenAlexW2082462625MaRDI QIDQ3422813

Donnelly, Robert G.

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1080/00927870600860874

zbMATH Keywords

modular latticesimple Lie algebraweight basisadjoint representation actions

Mathematics Subject Classification ID

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

Related Items (2)

Gelfand-Tsetlin-type weight bases for all special linear Lie algebra representations corresponding to skew Schur functions ⋮ Extremal properties of bases for representations of semisimple Lie algebras

Cites Work

• Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
• Extremal properties of bases for representations of semisimple Lie algebras
• Symplectic analogs of the distributive lattices \(L(m,n)\)
• Introduction to Lie Algebras and Representation Theory
• Explicit constructions of the fundamental representations of the symplectic Lie algebras
• Quasi-minuscule quotients and reduced words for reflections
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