Pointed Hopf Algebras with Triangular Decomposition
نویسندگان
چکیده
منابع مشابه
4 Triangular braidings and pointed Hopf algebras ⋆
We consider an interesting class of braidings defined in [1] by a combinatorial property. We show that it consists exactly of those braidings that come from certain Yetter-Drinfeld module structures over pointed Hopf algebras with abelian coradical. As a tool we define a reduced version of the FRT construction. For braidings induced by Uq(g)-modules the reduced FRT construction is calculated ex...
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In a previous work [AS2] we showed how to attach to a pointed Hopf algebra A with coradical kΓ, a braided strictly graded Hopf algebra R in the category Γ Γ YD of Yetter-Drinfeld modules over Γ. In this paper, we consider a further invariant of A, namely the subalgebra R of R generated by the space V of primitive elements. Algebras of this kind are known since the pioneering work of Nichols. It...
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2016
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-015-9588-x