Deformations of path algebras of quivers with relations

24 Apr 2020 Barmeier Severin Wang Zhengfang

Let $A = \Bbbk Q / I$ be the path algebra of any finite quiver $Q$ modulo any finitely generated ideal of relations $I$. We develop a method to give a concrete description of the deformation theory of $A$ via the combinatorics of reduction systems and give a range of examples and applications to deformation quantization and to deformations in commutative and noncommutative algebraic geometry...

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Categories


  • QUANTUM ALGEBRA
  • ALGEBRAIC GEOMETRY
  • RINGS AND ALGEBRAS
  • REPRESENTATION THEORY