1999arXiv (Cornell University)Open access

Integrals on Hopf algebras and Application to Representation Theory of Quantum Groups of Type $A_{0|0}$

Phùng Hô Hái

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Abstract

In this work we study some properties of comldules over (non-cosemisimple) Hopf algebras possessing integrals, which are also called co-Frobenius Hopf algebras. We apply the result obtained to the classification of representations of quantum groups of type $A_{0|0}$.

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In this work we study some properties of comldules over (non-cosemisimple) Hopf algebras possessing integrals, which are also called co-Frobenius Hopf algebras. We apply the result obtained to the classification of representations of quantum groups of type $A_{0|0}$.

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In this work we study some properties of comldules over (non-cosemisimple) Hopf algebras possessing integrals, which are also called co-Frobenius Hopf algebras. We apply the result obtained to the classification of representations of quantum groups of type $A_{0|0}$.

Key concepts: Hopf algebra, Quantum group, Type (biology), Mathematics, Pure mathematics, Representation (politics), Representation theory of Hopf algebras, Quantum

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