Representation theory MOC

Density theorem for 𝕂-monoids

Suppose 𝕂 is algebraically closed. Let A be a finite-dimensional 𝕂-monoid, and 𝑉 be a simple module over A. Then the representation A →End𝕂⁡𝑉 afforded by A is surjective.1 #m/thm/rep


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Footnotes

  1. 2011. Introduction to representation theory, theorem 3.2.2 ↩