Group Theory in China

ISBN-13: 9789401062947 / Angielski / Miękka / 2012 / 261 str.

Zhe-Xian Wan;Sheng-Ming Shi

Opis

'Et moi, ..., si j'avait su comment en revenir, One service methematics has rendered the je n'y serais point aile.' human race. It has put common sense back JulesVerne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be seese'. able to do something with it. Eric T. Bell O.Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonlinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such state- ments as: 'One service topology has rendered mathematical physics ...'; 'One service logic has rendered computer science ...'; 'One service category theory has rendered mathematics ...'. All arguable true. And all statements obtainable this *way form part of the raison d'etre of this series.

Spis treści

Generalized Simple Groups of Lie Type; Chen Chong Hu. Abstract Group Theory; Z.M. Chen. Several Questions About Finite Group Representations and Their Applications; Fan Yun. Recent Progress on Classical Groups and Algebraic K-Theory in China; Li Fu-an, You Hong. Some Work on the Connection Between Groups and Combinatorics; Li Huiling. On the Subgroup Structure of Classical Groups; Shangzhi Li. Complex Lie Algebras in China; Lu Caihui, et al. Lie Algebras of Prime Characteristic; Guang-Yu Shen. Left Cells in Certain Coxeter Groups; Jian-yi Shi. Some Works on Modular Representations of Finite Groups; Shi Shengming, Zhang Jiping. The Quantitative Structure of Groups and Related Topics; W.J. Shi. Survey on Geometry of Classical Groups over Finite Fields and Its Applications; Zhe-xian Wan. Representation Theory of Algebraic and Quantum Groups in China; Jianpan Wang, Jiachen Ye. Some Work on Vertex-Transitive Graphs by Chinese Mathematics; Ming-Yao Xu. Some New Developments in the Study of Differential Geometry of Homogeneous Spaces; Yan Zhida, Hou Zixin.