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 A new book: the representation theory of finite monoids
 The uniform word problem for finite semigroups
 The first order theory of two endomorphisms of a finite dimensional vector space is undecidable
 Equalizers of free monoid morphisms, supports of rational power series and a question of Pin
 Isomorphism of oriented matroids from a semigroup viewpoint
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Monthly Archives: July 2013
Hyperplane face semigroups and zonotopes
Hyperplane face semigroups have attracted interest in recent years due to applications to Markov chains, descent algebras and buildings. Here I’ll describe an alternative way to think about hyperplane face semigroups from the zonotope view point.
Endomorphism monoids of finite topological spaces
This post is inspired by this Mathoverflow question. The question asks when a transformation monoid on a set can be the monoid of all continuous maps for some topology on . The OP observes that the monoid must contain all … Continue reading
Combinatorics on Words
I am recording here some neat proofs of some theorems on combinatorics on words. No great originality is claimed.