Dennis Hasselstrom Pedersen

most citedIrreducible quantum group modules with finite dimensional weight spaces. II

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math.RT2015★ 1 cited

Irreducible quantum group modules with finite dimensional weight spaces. II

Dennis Hasselstrøm Pedersen

We classify the simple quantum group modules with finite dimensional weight spaces when the quantum parameter $q$ is transcendental and the Lie algebra is not of type $G_{2}$ . This i…

math.RT2015

Irreducible quantum group modules with finite dimensional weight spaces. I

Dennis Hasselstrøm Pedersen

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…

math.RT2015

Twisting Functors for Quantum Group Modules

Dennis Hasselstrøm Pedersen

We construct twisting functors for quantum group modules. First over the field $Q (v)$ but later over any $Z [v, v^{- 1}]$ -algebra. The main results in this paper ar…