Classification of Finite Dimensional Irreducible Representations of Generalized Quantum Groups via Weyl Groupoids

Hiroyuki Yamane; Malihe Yousofzadeh; Saeid Azam

arxiv: 1105.0160 · v3 · pith:JANCOQMYnew · submitted 2011-05-01 · 🧮 math.QA · math.RT

Classification of Finite Dimensional Irreducible Representations of Generalized Quantum Groups via Weyl Groupoids

Saeid Azam , Hiroyuki Yamane , Malihe Yousofzadeh This is my paper

classification 🧮 math.QA math.RT

keywords irreducibledimensionalfinitegeneralizedgroupspositivequantumbasis

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We classify finite-dimensional irreducible highest weight modules of generalized quantum groups whose positive part is infinite dimensional and has a Kharchenko's PBW basis with an irreducible finite positive root system.

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Classification of Finite Dimensional Irreducible Representations of Generalized Quantum Groups via Weyl Groupoids

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