RT Journal Article
T1 H-Galois extensions with normal basis for weak Hopf algebras
A1 Alonso Álvarez, José Nicanor
A1 Fernández Vilaboa, José Manuel
A1 González Rodríguez, Ramón
K1 H-Galois extensions
K1 Normal basis
K1 Weak Hopf algebra
AB Let H be a weak Hopf algebra and let A be an H-comodule algebrawith subalgebra of coinvariants AH. In this paper we introduce thenotion of H-Galois extension with normal basis and we prove that AH ,→ Ais an H-Galois extension with normal basis if and only if AH ,→ A is anH-cleft extension which admits a convolution invertible total integral. As aconsequence, if H is cocommutative and A commutative, we obtain a bijectivecorrespondence between the second cohomology group H2ϕAH(H, AH) and theset of isomorphism classes of H-Galois extensions with normal basis whose leftaction over AH is ϕAH
PB International Electronic Journal of Algebra
YR 2017
FD 2017
LK http://hdl.handle.net/10347/17665
UL http://hdl.handle.net/10347/17665
LA eng
NO Alonso Alvarez, J.N., Fernandez Vilaboa, J.M. and Gonzalez Rodriguez, R. (2017). H-Galois extensions with normal basis for weak Hopf algebras. International Electronic Journal of Algebra, vol. 21, pp. 23-38
NO This work was supported by Ministerio de Economía y Competitividad and by Feder founds.Grant MTM2013-43687-P: Homología, homotopía e invariantes categóricos en grupos y álgebrasno asociativas
DS Minerva
RD 29 abr 2026