Irreducible quantum group modules with finite dimensional weight spaces. I

Research output: ResearchWorking paper

  • Dennis Hasselstrøm Pedersen
    Dennis Hasselstrøm PedersenDenmark
In this paper we classify all simple weight modules for a quantum group Uq at a complex root of unity q when the Lie algebra is not of type G2. By a weight module we mean a finitely generated Uq-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.
Original languageEnglish
PublisherarXiv.org
Number of pages37
StatePublished - 27 Apr 2015

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