On the deformation theory of finite dimensional algebras (original) (raw)

The paper discusses deformation theory in the context of finite dimensional algebras, focusing on strong simple connectivity and its implications in representation theory. It establishes relationships between certain algebraic properties, including the homology groups and the smoothness of automorphism groups. Key results include criteria for rigidity in finite dimensional algebras, illustrating how these defects influence deformation behavior and categorization. The work builds on known theories and provides a foundation for exploring further implications in algebraic schemes.