Search results for "Hochschild cohomology"

showing 2 items of 2 documents

Fibred-categorical obstruction theory

2022

Abstract We set up a fibred categorical theory of obstruction and classification of morphisms that specialises to the one of monoidal functors between categorical groups and also to the Schreier-Mac Lane theory of group extensions. Further applications are provided to crossed extensions and crossed bimodule butterflies, with in particular a classification of non-abelian extensions of unital associative algebras in terms of Hochschild cohomology.

Pure mathematicsFibrationCohomology Fibration Category of fractions Schreier-Mac Lane theorem Obstruction theory Crossed extension Hochschild cohomologyFibered knotMathematics::Algebraic TopologyCohomologyHochschild cohomologyMorphismMathematics::K-Theory and HomologyMathematics::Category TheoryCategorical variableMathematicsSchreier-Mac Lane theoremAlgebra and Number TheoryFunctorCategory of fractionsGroup (mathematics)Crossed extensionSettore MAT/01 - Logica MatematicaObstruction theoryCohomologyCategory of fractions; Cohomology; Crossed extension; Fibration; Hochschild cohomology; Obstruction theory; Schreier-Mac Lane theoremSettore MAT/02 - AlgebraBimoduleObstruction theory
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Hochschild Cohomology Theories in White Noise Analysis

2008

We show that the continuous Hochschild cohomology and the differential Hochschild cohomology of the Hida test algebra endowed with the normalized Wick product are the same.

Sheaf cohomologyPure mathematicswhite noise analysisGroup cohomologyMathematics::Number TheoryFOS: Physical sciencesMathematics::Algebraic TopologyHochschild cohomologyGeneral Relativity and Quantum CosmologyCup productMathematics::K-Theory and HomologyMathematics::Quantum AlgebraMathematics - Quantum AlgebraFOS: MathematicsDe Rham cohomologyQuantum Algebra (math.QA)Equivariant cohomologyWick productČech cohomologyMathematical PhysicsMathematicslcsh:MathematicsMathematical Physics (math-ph)lcsh:QA1-939CohomologyGeometry and TopologyAnalysis
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