| 1 Introduction | 第1-11页 |
| 2 The regular locally finite elements and Cartan subalgebras of Kac-Moody algebras | 第11-17页 |
| 2．1 Preliminaries | 第11-13页 |
| 2．2 The Cartan subalgebras of Kac-Moody algebras | 第13-17页 |
| 3 Some properties of toroidal Lie algebras | 第17-29页 |
| 3．1 Notions and preliminaries | 第17-20页 |
| 3．2 Some properties of T_[m] | 第20-24页 |
| 3．3 On the finite-dimensional representations of iterated loop algebras | 第24-26页 |
| 3．4 Some modules for T_[m] induced by modules for affine Lie algebras | 第26-29页 |
| 4 Complete Lie algebras and modules for Kac-Moody algebras | 第29-42页 |
| 4．1 Solvable complete Lie algebras with l-step nilpotent radicals | 第29-33页 |
| 4．2 Complete Lie algebras constructed by using modules of semisimple finite-dimensional Lie algebras | 第33-37页 |
| 4．3 Complete Lie algebras constructed by using the modules of affine Lie algebras | 第37-42页 |
| 5 Generalized vertex pre-algebras of parafermion operators | 第42-71页 |
| 5．1 Definition and duality for generalized verterx algebras | 第42-50页 |
| 5．2 Generalized vertex algebras generated by parafermion operators | 第50-65页 |
| 5．3 Generalized vertex algebras associated to affine Lie algebra mod-ules of any non-zero level | 第65-71页 |
| Bibliography | 第71-76页 |
