Automata and cells in affine Weyl groups

DOI10.1090/S1088-4165-2010-00391-XzbMath1207.20023arXiv0807.2463OpenAlexW2004651821MaRDI QIDQ3068948

Paul E. Gunnells

Publication date: 21 January 2011

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.2463

zbMATH Keywords

reduced expressionsaffine Weyl groupsregular languagesKazhdan-Lusztig cellsfinite state automataCoxeter hyperplane arrangements

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (2)

Kazhdan–Lusztig cells in planar hyperbolic Coxeter groups and automata ⋮ Generalised Burnside rings, G-categories and module categories

Uses Software

• PERL
• Graphviz
• Dynagraph

Cites Work

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• The decomposition into cells of the affine weyl group of type [Btilde₃]
• Fully commutative elements and Kazhdan–Lusztig cells in the finite and affine Coxeter groups
• Sign Types Corresponding to an Affine Weyl Group

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