Group Theory in China

by Zhe-Xian Wan (Editor), Sheng-Ming Shi (Editor)

Overview

Hsio-Fu Tuan is a Chinese mathematician who has made important contributions to the theories of both finite groups and Lie groups. He has also had a great influence on the development of algebra, and particularly group theory in China. The present volume consists of a collection of essays on various aspects of group theory written by some of his former students and colleagues in honour of his eightieth birthday. The papers contain the main general results, as well as recent ones, on certain topics within this discipline. The chief editor, Zhe-Xian Wan, is a leading algebraist in China. Audience: This volume will be of interest to mathematicians specialising in group theory, graph theory, algebraic K-theory and Lie algebras, and those wishing to gain insight in the development and prospects of group theory in China.

Product Details

ISBN-13:	9780792339892
Publisher:	Springer-Verlag New York, LLC
Publication date:	11/28/1996
Series:	Mathematics and Its Applications Series , #365
Pages:	261
Product dimensions:	6.69(w) x 9.61(h) x 0.69(d)

Table of Contents

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.

Editorial Reviews

A collection of 15 essays on various aspects of group theory and some related areas by former students and students of Chinese mathematician Hsio-Fu Tuan (b. 1914), who has made important contributions to the theories of both finite groups and Lie groups. Among the topics are generalized simple groups of Lie types, the connection between groups and combinatorics, left cells in certain coxeter groups, the representation theory of algebraic and quantum groups in China, and some new developments in the study of differential geometry of homogeneous spaces. For mathematicians interested in what the Chinese have been up to in this regard. No index. Annotation c. by Book News, Inc., Portland, Or.

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