Classification On Irreducible Whittaker Modules Over Quantum Group U-Q(Sl(3), Lambda)
FRONTIERS OF MATHEMATICS IN CHINA(2021)
摘要
We define the Whittaker modules over the simply-connected quantum group U-q(sl(3), Lambda); where Lambda is the weight lattice of Lie algebra sl(3): Then we completely classify all those simple ones. Explicitly, a simple Whittaker module over U-q(sl(3), Lambda) is either a highest weight module, or determined by two parameters z is an element of C and gamma is an element of C* (up to a Hopf automorphism).
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关键词
Quantum group, simple, Whittaker module, Whittaker vector
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