Cohomology of associative H-pseudoalgebras
Jose I. Liberati
TL;DR
This paper introduces a cohomology theory for associative H-pseudoalgebras, linking it to module extensions, deformations, and abelian extensions, with detailed results for associative conformal algebras.
Contribution
It develops the cohomology framework for associative H-pseudoalgebras and applies it to associative conformal algebras, revealing new structural insights.
Findings
Cohomology describes module and algebra extensions.
Cohomology characterizes first order deformations.
Detailed results for associative conformal algebras.
Abstract
We define cohomology of associative H-pseudoalgebras, and we show that it describes module extensions, abelian pseudoalgebra extensions, and pseudoalgebra first order deformations. We describe in details the same results for the special case of associative conformal algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons