Semigroups embeddable in hyperplane face monoids

Preprint English OPEN
Margolis, Stuart; Saliola, Franco; Steinberg, Benjamin;
(2012)
  • Subject: Mathematics - Combinatorics | Mathematics - Rings and Algebras | 20M07, 08C15, 05E99 | Mathematics - Group Theory
    arxiv: Mathematics::Operator Algebras

The left regular band structure on a hyperplane arrangement and its representation theory provide an important connection between semigroup theory and algebraic combinatorics. A finite semigroup embeds in a real hyperplane face monoid if and only if it is in the quasiva... View more
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