Representations of Hopf-Ore Extensions of Group Algebras and Pointed Hopf Algebras of Rank One
نویسندگان
چکیده
منابع مشابه
Duals of Pointed Hopf Algebras
In this paper, we study the duals of some finite dimensional pointed Hopf algebras working over an algebraically closed field k of characteristic 0. In particular, we study pointed Hopf algebras with coradical k[Γ] for Γ a finite abelian group, and with associated graded Hopf algebra of the form B(V )#k[Γ] where B(V ) is the Nichols algebra of V = ⊕iV χi gi ∈ k[Γ] k[Γ]YD. As a corollary to a ge...
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William M. Singer has described a cohomology theory of connected Hopf algebras which classifies extensions of a cocommutative Hopf algebra by a commutative Hopf algebra in much the same way as the cohomology of groups classifies extensions of a group by an abelian group. We compute these cohomology groups for monogenic Hopf algebras, construct an action of the base ring on the cohomology groups...
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2015
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-015-9517-z