Kaplansky's theorem of the q-analogue of the enveloping algebra of the witt algebra^*

^*Project supported by the NSF of China and the NSF of Hebei Province

Abstract

Let q be an m-th primitive root of unity.We construct a class of Z _m -graded modules V_m (λ,a,b,c) over the q-analogue of the enveloping algebra of the Witt algebra, and prove a q-analogue of Kaplansky's Theorem.

^*Project supported by the NSF of China and the NSF of Hebei Province

^*Project supported by the NSF of China and the NSF of Hebei Province

Notes

^*Project supported by the NSF of China and the NSF of Hebei Province