Title of article
H-GALOIS EXTENSIONS WITH NORMAL BASIS FOR WEAK HOPF ALGEBRAS
Author/Authors
Alonso Alvarez, J. N Departamento de Matematicas - Universidad de Vigo - Campus Universitario Lagoas-Marcosende, Spain , Fernandez Vilaboa, J. M. Departamento de Alxebra - Universidad de Santiago de Compostela - Campus Sur, Spain , Gonzalez Rodrıguez, R. Departamento de Matematica - Aplicada II - Universidad de Vigo - Campus Universitario Lagoas-Marcosende, Spain
Pages
16
From page
23
To page
38
Abstract
Let H be a weak Hopf algebra and let A be an H-comodule algebra with subalgebra of coinvariants AH. In this paper we introduce the
notion of H-Galois extension with normal basis and we prove that AH ,→ A
is an H-Galois extension with normal basis if and only if AH ,→ A is an
H-cleft extension which admits a convolution invertible total integral. As a
consequence, if H is cocommutative and A commutative, we obtain a bijective
correspondence between the second cohomology group H2
ϕAH
(H, AH) and the
set of isomorphism classes of H-Galois extensions with normal basis whose left
action over AH is ϕAH .
Keywords
H-Galois extensions , normal basis
Journal title
International Electronic Journal of Algebra
Serial Year
2017
Full Text URL
Record number
2600789
Link To Document