Partial symmetry, reflection monoids and Coxeter groups.

DOI10.1016/j.aim.2009.10.008zbMath1238.20073arXiv0812.2789OpenAlexW2963951236MaRDI QIDQ2268617

Brent Everitt, J. B. Fountain

Publication date: 8 March 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.2789

zbMATH Keywords

Weyl groupsCoxeter groupsinverse semigroupsgroups of Lie typereflection groupshyperplane arrangementslinear algebraic monoidsRenner monoidsrook monoidsreflection monoids

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Inverse semigroups (20M18) Algebraic monoids (20M32)

Related Items (11)

On groups generated by involutions of a semigroup. ⋮ Idempotents and one-sided units: lattice invariants and a semigroup of functors on the category of monoids ⋮ Product decompositions of semigroups induced by action pairs ⋮ Generation of infinite factorizable inverse monoids. ⋮ The classification of maximal inverse monoids of matrices ⋮ A tribute to John B. Fountain ⋮ Factorizable inverse monoids. ⋮ The sympathetic sceptic's guide to semigroup representations ⋮ A symmetrical presentation for the singular part of the symmetric inverse monoid. ⋮ A ŠVARC–MILNOR LEMMA FOR MONOIDS ACTING BY ISOMETRIC EMBEDDINGS ⋮ Quiver mutations and Boolean reflection monoids

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