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arXiv · 1404.0420

Induced Representations of Hopf Algebras

Ibrahim Saleh
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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 $H$, we construct an induced Hopf representation from a representation of a bialgebra $B$ using a bialgebra epimorphism $π: H\rightarrow B$. Application on the quantum group $E_{q}(2)$ is given.

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Ibrahim Saleh. 2014-04-01. Induced Representations of Hopf Algebras. https://arxiv.org/abs/1404.0420

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