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Roots of Unity: Representations of Quantum Groups

Wolfgang A. Schnizer

hep-tharXiv:hep-th/9305180

Abstract

Representations of Quantum Groups Uq (gn), gn any semi simple Lie algebra of rank n, are constructed from arbitrary representations of rank n-1 quantum groups for q a root of unity. Representations which have the maximal dimension and number of free parameters for irreducible representations arise as special cases.

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