Partial mirror symmetry I: reflection monoids

Details Partial mirror symmetry I: reflection monoids Partial mirror symmetry I: reflection monoids

2007-01-10

arxiv.org/abs/math/0701313v2

Mathematics

Group Theory

22 pages. A number of minor revisions and a rewrite of the section on the Renner monoids

Scientific paper

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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