On Closed Subsets of Root Systems

DOI10.4153/CMB-1994-050-4zbMath0808.17015OpenAlexW2323324260MaRDI QIDQ4312059

Jean-Yves Hée, P. Check, Dragomir Ž. Djoković

Publication date: 3 November 1994

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-1994-050-4

zbMATH Keywords

Weyl grouproot systemclosed sets

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (10)

Abnormal subgroups in classical groups that correspond to closed root sets. ⋮ On symmetric closed subsets of real affine root systems ⋮ Closed subsets of root systems and regular subalgebras ⋮ Local finiteness of the twisted Bruhat orders on affine Weyl groups ⋮ On the Weak Order of Coxeter Groups ⋮ Twisted weak orders of Coxeter groups ⋮ Abelian ideals of a Borel subalgebra and subsets of the Dynkin diagram ⋮ Infinite reduced words, lattice property and braid graph of affine Weyl groups ⋮ Reduced expression of minimal infinite reduced words of affine Weyl groups ⋮ A classification of invertible subsets of affine root systems

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