English

Induced Representations of Hopf Algebras

Representation Theory 2014-04-03 v1

Abstract

Hopf representation is a module and comodule with a consistency condition that is more general than the consistency condition of Hopf modules. For a Hopf algebra HH, we construct an induced Hopf representation from a representation of a bialgebra BB using a bialgebra epimorphism π:HB\pi: H\rightarrow B. Application on the quantum group Eq(2)E_{q}(2) is given.

Keywords

Cite

@article{arxiv.1404.0420,
  title  = {Induced Representations of Hopf Algebras},
  author = {Ibrahim Saleh},
  journal= {arXiv preprint arXiv:1404.0420},
  year   = {2014}
}