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Given a fixed connected quiver $Q$. Are there only finitely many quiver algebra $KQ/I$ (I an admissible ideal) up to isomorphism which have finite representation type and finite global dimension?

Given a fixed connected quiver $Q$. Are there only finitely many quiver algebra $KQ/I$ up to isomorphism which have finite representation type and finite global dimension?

Given a fixed connected quiver $Q$. Are there only finitely many quiver algebra $KQ/I$ (I an admissible ideal) up to isomorphism which have finite representation type and finite global dimension?

Source Link
Mare
  • 26.5k
  • 6
  • 25
  • 104

Quiver algebras with finite global dimension

Given a fixed connected quiver $Q$. Are there only finitely many quiver algebra $KQ/I$ up to isomorphism which have finite representation type and finite global dimension?