Algebraic Topology
Hochschild cohomology is an important concept in algebraic topology and homological algebra that generalizes the notion of cohomology to algebraic structures such as algebras and categories. It provides a way to study extensions, deformations, and automorphisms of algebras using derived categories. This cohomology theory captures information about the algebra's structure by associating a sequence of abelian groups or vector spaces to it, reflecting its derived properties.
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