HARISH-CHANDRA MODULES OVER sl2(R) ANDTHEIR APPLICATIONS
sl_2(R)上Harish-Chandra模及其应用

in this paper, irreducible and indecomposable Harish-Chandramodules, over sl2(R) are completely classified. The results for sl2(R) are differentfrom those for sl2(C). As an application, a new class of irreducible modules over thereal Virasoro algebra is constructed.