2 00 8 Representations of Pointed Hopf Algebras and Their Drinfel ’ D Quantum Doubles
نویسنده
چکیده
We study representations of nilpotent type nontrivial liftings of quantum linear spaces and their Drinfel’d quantum doubles. We construct a family of Vermatype modules in both cases and prove a parametrization theorem for simple modules. We compute the Loewy and socle series of Verma modules under a mild restriction on the datum of a lifting. We find bases and dimensions of simple modules.
منابع مشابه
A pr 2 00 8 REPRESENTATIONS OF POINTED HOPF ALGEBRAS AND THEIR DRINFEL ’ D QUANTUM DOUBLES
We study representations of nilpotent type nontrivial liftings of quantum linear spaces and their Drinfel’d quantum doubles. We construct a family of Vermatype modules in both cases and prove a parametrization theorem for the simple modules. We compute the Loewy and socle series of Verma modules under a mild restriction on the datum of a lifting. We find bases and dimensions of simple modules.
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