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Partial mirror symmetry I: reflection monoids

Brent Everitt·John Fountain
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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.

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Brent Everitt, John Fountain. 2007-11-07. Partial mirror symmetry I: reflection monoids. https://arxiv.org/abs/math/0701313

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