Math 2.0

Theorem

Skowronski–Weyman theorem

Statement

Let Q be a finite connected quiver. The following are equivalent:

  1. Q is either a Dynkin quiver or a Euclidean quiver.
  2. For each dimension vector d, the algebra SI(Q,d) is complete intersection.
  3. For each dimension vector d, the algebra SI(Q,d) is either a polynomial algebra or a hypersurface.

Further reading

  1. Wikipedia, page 42294499, revision 1312799207, Semi-invariant of a quiver, section Characterization of representation type through semi-invariant theory > Skowronski–Weyman theorem. adopted
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