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- W2952645557 abstract "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 (with a different name) 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." @default.
- W2952645557 created "2019-06-27" @default.
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- W2952645557 date "2004-10-11" @default.
- W2952645557 modified "2023-09-27" @default.
- W2952645557 title "Lazy cohomology: an analogue of the Schur multiplier for arbitrary Hopf algebras" @default.
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