Lazy cohomology: an analogue of the Schur multiplier for arbitrary Hopf algebras
| dc.creator | Bichon, Julien | |
| dc.creator | Carnovale, Giovanna | |
| dc.date | 2004-10-11 | |
| dc.date | 2004-12-13 | |
| dc.date.accessioned | 2026-07-07T05:13:09Z | |
| dc.date.available | 2026-07-07T05:13:09Z | |
| dc.description | 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. | |
| dc.description | Reference to Schauenburg's work is added. Section 4 is improved using a Kac-Schauenburg-type exact sequence | |
| dc.identifier | https://arxiv.org/abs/math/0410263 | |
| dc.identifier | http://arxiv.org/abs/math/0410263 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72842 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W30; 18D10 | |
| dc.title | Lazy cohomology: an analogue of the Schur multiplier for arbitrary Hopf algebras | |
| dc.type | text |