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In this paper we discuss various aspects of the problem of determining the minimal dimension of an injective linear representation of a finite semigroup over a field. We outline some general techniques and results, and apply them to numerous examples.
To appear in J. Pure Appl. Alg
Algebra and Number Theory, FOS: Mathematics, Group Theory (math.GR), Representation Theory (math.RT), Mathematics - Group Theory, Mathematics - Representation Theory
Algebra and Number Theory, FOS: Mathematics, Group Theory (math.GR), Representation Theory (math.RT), Mathematics - Group Theory, Mathematics - Representation Theory
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