u(h)-free modules and coherent families

作者：Nilsson Jonathan^*

来源：Journal of Pure and Applied Algebra, 2016, 220(4): 1475-1488.

DOI：10.1016/j.jpaa.2015.09.013

We investigate the category of u(h)-free g-modules. Using a functor from this category to the category of coherent families, we show that u(h)-free modules only can exist when g is of type A or C. We then proceed to classify isomorphism classes of u(h)-free modules of rank 1 in type C, which includes an explicit construction of new simple sp(2n)-modules. The classification is then extended to higher ranks via translation functors.

• 出版日期2016-4