Nilpotent representations of classical quantum groups at roots of unity

Details Nilpotent representations of classical quantum groups at roots of unity Nilpotent representations of classical quantum groups at roots of unity

2004-11-18

arxiv.org/abs/math/0411401v2

Mathematics

Quantum Algebra

29 pages, new section added and some proof revised

Scientific paper

10.1063/1.2107307

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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