Noncommutative Complete Intersections and Matrix Integrals

  title={Noncommutative Complete Intersections and Matrix Integrals},
  author={Victor Ginzburg},
We introduce a class of noncommutatative algebras called representation complete intersections (RCI). A graded associative algebra A is said to be RCI provided there exist arbitrarily large positive integers n such that the scheme Rep n A, of n-dimensional representations of A, is a complete intersection. We discuss examples of RCI algebras, including those arising from quivers. There is another interesting class of associative algebras called noncommutative complete intersections (NCCI). We… CONTINUE READING
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