The structure of total reflection orders in affine root systems

DOI10.1006/jabr.1997.7378zbMath0915.20017OpenAlexW1980700970MaRDI QIDQ1271017

Paolo Papi, Paola Cellini

Publication date: 3 November 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7378

zbMATH Keywords

Weyl groupsfinite sectionsaffine root systemstotal reflection orders

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (9)

On inversion sets and the weak order in Coxeter groups ⋮ Abelian ideals of Borel subalgebras and affine Weyl groups ⋮ On Demazure polynomials ⋮ Representations of Khovanov-Lauda-Rouquier algebras. III: Symmetric affine type ⋮ Total positivity for loop groups. II: Chevalley generators ⋮ Cuspidal systems for affine Khovanov-Lauda-Rouquier algebras. ⋮ Affine Mirković-Vilonen polytopes ⋮ Infinite reduced words, lattice property and braid graph of affine Weyl groups ⋮ \(T\)-increasing paths on the Bruhat graph of affine Weyl groups are self-avoiding

Cites Work

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• Convex orderings in affine root systems. II
• Convex orderings in affine root systems
• Affine permutations of type \(A\)
• On the root system of a coxeter group
• A Characterization of a Special Ordering in a Root System
• Combinatorial Expansions of Kazhdan-Lusztig Polynomials

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