INVESTIGADORES
ANGIONO Ivan Ezequiel
artículos
Título:
Cohomology and Coquasi-bialgebras in the category of Yetter-Drinfeld Modules
Autor/es:
IVÁN ANGIONO; ALESSANDRO ARDIZZONI; CLAUDIA MENINI
Revista:
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA CL. DI SCIENZE - IV
Editorial:
SCUOLA NORMALE SUPERIORE
Referencias:
Lugar: Pisa; Año: 2017 vol. 17 p. 1 - 45
ISSN:
0391-173X
Resumen:
We prove that a finite-dimensional Hopf algebra with the dual Chevalley Property over a field of characteristic zero is quasi-isomorphic to a Radford-Majid bosonization whenever the third Hochschild cohomology group in the category of Yetter-Drinfeld modules of its diagram with coefficients in the base field vanishes. Moreover we show that this vanishing occurs in meaningful examples where the diagram is a Nichols algebra.