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Irreducible quantum group modules with finite dimensional weight spaces. I by Pedersen, Dennis Hasselstrøm is a scholarly article available to read on EtoBox.

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In this paper we classify all simple weight modules for a quantum group $U_q$ at a complex root of unity $q$ when the Lie algebra is not of type $G_2$. By a weight module we mean a finitely generated $U_q$-module which has finite dimensional weight spaces and is a sum of those. Our approach follows the procedures used by S. Fernando and O. Mathieu to solve the corresponding problem for semisimple complex Lie algebras.

Author

Pedersen, Dennis Hasselstrøm

Published

2015

Language

EN