Nilpotent representations of classical quantum groups at roots of unity

Toshiki Nakashima; Yuuki Abe

arxiv: math/0411401 · v2 · submitted 2004-11-18 · 🧮 math.QA · math.RT

Nilpotent representations of classical quantum groups at roots of unity

Yuuki Abe , Toshiki Nakashima This is my paper

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keywords classicalgroupsmoduleprimitivequantumrootsunityvector

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Properly specializing the parameters in ``Schnizer modules'', for type A,B,C and D, we get its unique primitive vector. Then we show that the module generated by the primitive vector is an irreducible highest weight module of finite dimensional classical quantum groups at roots of unity.

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Nilpotent representations of classical quantum groups at roots of unity

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