Braided Sweedler cohomology
Sergio D. Corti, Jorge A. Guccione, Juan J. Guccione
TL;DR
This paper introduces a braided Sweedler cohomology framework tailored for analyzing H-braided cleft extensions, extending the algebraic tools available for braided Hopf algebra structures.
Contribution
It develops a new cohomology theory specifically designed for braided Hopf algebra extensions, building on previous work on braided crossed products.
Findings
Defines braided Sweedler cohomology for H-braided cleft extensions
Provides algebraic tools for studying braided Hopf algebra structures
Extends the theory of Hopf crossed products to braided contexts
Abstract
We introduced a braided Sweedler cohomology, which is adequate to work with the H-braided cleft extensions studied in [J. A. Guccione and J. J. Guccione, Theory of braided Hopf crossed products, Journal of Algebra, Vol 261 (2003) 54-101]
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Geometry