董崇英教授是杰出青年基金（B）的获得者。 他是国际上无限维李代数和顶点算子代数领域最杰出的数学家之一。

本书将介绍代数及领域相关的一些最新研究进展。具体说来，将讨论具c<1的有理顶点算子代数的分类问题。任何这样的顶点算子代数是结合于离散系的Virasoro顶点算子代数的推广。主要思想是用向量值模函数来控制阶化维数。

Preface

Eiichi Bannai and Etsuko Bannai: Spherical Designs and Euclidean Designs

Yu Chen: Minimal Representation Degree of Affine Kac-Moody Groups

Huah Chu, Shou-Jen Hu and Ming-chang Kang: A Rationality Problem of Certain A4 Action

Zongduo Dai, Kunpeng Wang and Dingfeng Ye: Characterization of Multi-Continued Fractions for Multi-Formal Laurent Series

Yi Fang and Zongzhu Lin: Eulerian Trails and Hamiltonian Paths in Digraphs with Anti-involutions

Rongquan Feng and Hongfeng Wu: Efficient Pairing Computation on Curves

Wenbin Guo: Some Ideas and Results in Group Theory

Tayuan Huang, Lingling Huang and Miaow-Ing Lin: On a Class of Strongly Regular Designs and Quasi-semisymmetric Designs

Huishi Li: F-Leading Homogeneous Algebras and Gr6bner Bases

Jianbo Liu and Kaiming Zhao: Automorphism Groups of Lie Algebras from Quantum Tori

Yucai Su: Quasifinite Representations of Some Lie Algebras Related to the Virasoro Algebra

George Szeto and Lianyong Xue: On Galois Extensions with an Inner Galois Group

Nanhua Xi: Representations of Algebraic Groups: Some Basics and Progresses

Jiping Zhang and Zhikai Zhang: Brou6's Conjecture for Finite Groups with Abelian Sylow p-Subgroups

Sujing Zhou and Dongdai Lin: An Interesting Member ID-based Group Signature

Curriculum Vitae and Publications of Zhexian Wan