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Partial symmetry, reflection monoids and Coxeter groups

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Publication details

JournalAdvances in Mathematics
DatePublished - 20 Mar 2010
Issue number5
Volume223
Number of pages33
Pages (from-to)1782-1814
Original languageEnglish

Abstract

This is the first of a series of papers in which we initiate and develop the theory of reflection monoids, motivated by the theory of reflection groups. The main results identify a number of important inverse semigroups as reflection monoids, introduce new examples, and determine their orders. (C) 2009 Elsevier Inc. All rights reserved.

    Research areas

  • Coxeter groups, Hyperplane arrangements, Inverse semigroups, Algebraic monoids, Renner monoids, UNIFORM BLOCK PERMUTATIONS, ALGEBRAIC MONOIDS, RENNER MONOIDS, BRUHAT DECOMPOSITION, ARRANGEMENTS

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