完备化Witt代数的最高权表示

Highest Weight Representations of the Completed Witt Algebra

本文讨论了完备化Witt李代数Verma模的不可约性,并利用其子代数给出了Virasoro代数的两类不可约非权模的实现,得到了一些有趣的组合恒等式.

We investigate the irreducibility of Verma modules over the completed Witt algebra.By embedding the Virasoro algebra into the completed Witt algebra,we give realizations of two classes of irreducible non-weight Virasoro-modules.We also obtain some interesting combinatorial identities.