Quasitriangular hopf algebras whose group-like elements form an abelian group

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we prove some properties of the set of group-like elements of A, G(A), for a pointed minimal quasitriangular Hopf algebra A over a field k of characteristic 0, and for a pointed quasitriangular Hopf algebra which is indecomposable as a coalgebra. We first show that over a field of characteristic 0, for any pointed minimal quasitriangular Hopf algebra A, G(A) is abelian. We show further that if A is a quasitriangular Hopf algebra which is indecomposable as a coalgebra, then G(A) is contained in AR, the minimal quasitriangular Hopf algebra contained in A. As a result, one gets that over a field of characteristic 0, a pointed indecomposable quasitriangular Hopf algebra has a finite abelian group of group-like elements.

Original languageEnglish
Pages (from-to)1023-1026
Number of pages4
JournalProceedings of the American Mathematical Society
Volume124
Issue number4
DOIs
StatePublished - 1996

Fingerprint

Dive into the research topics of 'Quasitriangular hopf algebras whose group-like elements form an abelian group'. Together they form a unique fingerprint.

Cite this