Inversion tables and minimal left coset representatives for Weyl groups of classical type

DOI10.1016/S0022-4049(00)00101-8zbMath0985.20025MaRDI QIDQ5939617

Paolo Papi

Publication date: 6 May 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

affine Weyl groupsroot systems\(\mathbb{Z}\)-permutation formsinversion tablesminimal left coset representatives

Mathematics Subject Classification ID

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

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Cites Work

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• The Kazhdan-Lusztig cells in certain affine Weyl groups
• Affine permutations and inversion multigraphs
• Affine Weyl groups as infinite permutations
• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
• Cells for two coxeter groups
• On the distinguished coset representatives of the parabolic subgroups in finite coxeter groups