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math.QA2011
Classification of Finite Dimensional Irreducible Representations of Generalized Quantum Groups via Weyl Groupoids
Saeid Azam, Hiroyuki Yamane, Malihe Yousofzadeh
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…
math.QA2011
Reflectable bases for affine reflection systems
Saeid Azam, Hiroyuki Yamane, Malihe Yousofzadeh
The notion of a "root base" together with its geometry plays a crucial role in the theory of finite and affine Lie theory. However, it is known that such a notion does not exist fo…