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Partial symmetry, reflection monoids and Coxeter groups |
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| Authors: | Brent Everitt John Fountain |
| Institution: | Department of Mathematics, University of York, York YO10 5DD, United Kingdom |
| 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. |
| Keywords: | Coxeter groups Hyperplane arrangements Inverse semigroups Algebraic monoids Renner monoids |
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