A duality theorem for crossed products of hopf algebras

1993 ◽  
Vol 21 (8) ◽  
pp. 2885-2903 ◽  
Author(s):  
Chen Caoyu
Keyword(s):  
Hopf Algebras ◽  
Duality Theorem ◽  
Crossed Products

scholarly journals Crossed products for weak Hopf algebras with coalgebra splitting

2004 ◽  
Vol 281 (2) ◽  
pp. 731-752 ◽  
Author(s):  
J.N. Alonso Álvarez ◽  
R. González Rodríguez
Keyword(s):  
Hopf Algebras ◽  
Crossed Products ◽  
Weak Hopf Algebras

Separable extensions for crossed products over monoidal Hom-Hopf algebras

2018 ◽  
Vol 17 (09) ◽  
pp. 1850161 ◽  
Author(s):  
Zhongwei Wang ◽  
Yuanyuan Chen ◽  
Liangyun Zhang
Keyword(s):  
Hopf Algebra ◽  
Galois Extension ◽  
Hopf Algebras ◽  
Crossed Products ◽  
Separable Extensions

Let [Formula: see text] be a Frobenius monoidal Hom-Hopf algebra, and [Formula: see text] an [Formula: see text]-Hom-Hopf Galois extension of [Formula: see text]. We prove that the separability of the Hom-algebra extension [Formula: see text] is equivalent to the existence of a trace one element [Formula: see text] that centralizes [Formula: see text]. As applications, we obtain the differentiated conditions for the extension [Formula: see text] to be separable, and deduce a Doi’s result of Hom-type.

scholarly journals Crossed products and inner actions of Hopf algebras

1986 ◽  
Vol 298 (2) ◽  
pp. 671-671 ◽  
Author(s):  
Robert J. Blattner ◽  
Miriam Cohen ◽  
Susan Montgomery
Keyword(s):  
Hopf Algebras ◽  
Crossed Products

scholarly journals Crossed products and Galois extensions of Hopf algebras

1989 ◽  
Vol 137 (1) ◽  
pp. 37-54 ◽  
Author(s):  
Robert Blattner ◽  
M. Susan Montgomery
Keyword(s):  
Hopf Algebras ◽  
Crossed Products ◽  
Galois Extensions
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