Examples of inner linear Hopf algebras

Details Examples of inner linear Hopf algebras Examples of inner linear Hopf algebras

2009-11-30

arxiv.org/abs/0911.5585v2

Mathematics

Quantum Algebra

9 pages. Minor corrections, final version, to appear in Revista de la Union Matematica Argentina.

Scientific paper

The notion of inner linear Hopf algebra is a generalization of the notion of discrete linear group. In this paper, we prove two general results that enable us to enlarge the class of Hopf algebras that are known to be inner linear: the first one is a characterization by using the Hopf dual, while the second one is a stability result under extensions. We also discuss the related notion of inner unitary Hopf *-algebra.

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