Lazy cohomology: an analogue of the Schur multiplier for arbitrary Hopf algebras
By Julien Bichon, G. Carnovale. 2004
64 citations recorded by the source corpus.
We propose a detailed systematic study of a group H 2 L(A) associated, by elementary means of lazy 2-cocycles, to any Hopf algebra A. This group was introduced by Schauenburg in order to generalize G.I. Kac’s exact sequence. We study the various interplays of lazy cohomology in Hopf algebra theory: Galois and biGalois objects, Brauer groups and projective representations. We obtain a Kac-Schauenburg-type sequence for double crossed products of possibly infinite-dimensional Hopf algebras. Finally the explicit computation of H 2 L (A) for monomial Hopf algebras and for a class of cotriangular Hopf algebras is performed.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/65289137aba2f67530a3d7d38c66c25b1bc04d14
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In Algebra and Number Theory
In Discrete Mathematics and Combinatorics
In Geometry and Topology
Citations in the corpus
- Topics in Noncommutative Geometry (2015, methodology): “This definition is originally due to Schauenburg, and systematically studied by Bichon, Carnovale, Guillot, Kassel and collaborators [12, 13, 39].”