Weight posets associated with gradings of simple Lie algebras, Weyl groups, and arrangements of hyperplanes

Dmitri I. Panyushev

doi:10.1007/s10801-016-0671-0

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Weight posets associated with gradings of simple Lie algebras, Weyl groups, and arrangements of hyperplanes

Dmitri I. Panyushev

Year: 2016 Journal: Journal of Algebraic Combinatorics Vol: 44 (2)Pages: 325-344 Publisher: Springer Science+Business Media

DOI: 10.1007/s10801-016-0671-0

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Keywords:

Partially ordered set Bijection Hyperplane Mathematics Lie algebra Combinatorics Lattice (music) Nilpotent Simple (philosophy) Verma module Pure mathematics Physics

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Advanced Algebra and Geometry

Physical Sciences → Mathematics → Mathematical Physics

Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Advanced Combinatorial Mathematics

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

Weight posets associated with gradings of simple Lie algebras, Weyl groups, and arrangements of hyperplanes

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