New from International Press
February 2009

Advanced Lectures in Mathematics, Vol. 8

Recent Developments in Algebra and Related Areas

Edited by
Chongying Dong (University of California, Santa Cruz)
Fu-an Li (Chinese Academy of Sciences: Academy of Mathematics and Systems Science)

Publication Details

Softcover. 317 pages.
ISBN-13: 978-1-57146-135-3
ISBN-10: 1-57146-135-3
Published: February 2009
Publisher: International Press of Boston
List price: $58.00. Discounts may apply.

Full Description

This volume contains fifteen articles presented at the International Conference on Algebra and Related Areas held at Tsinghua University, Beijing, in August 2007. Some are surveys and others are research papers on topics including: algebraic geometry, combinatorics, coding theory, Lie algebras, representation theory of finite groups and algebraic groups, and vertex operator algebras, with their applications. This volume is intended for researchers and graduate students in algebra and related areas.

Table of Contents

• Spherical Designs and Euclidean Designs
  Eiichi Bannai & Etsuko Bannai
• Minimal Representation Degree of Affine Kac-Moody Groups
  Yu Chen
• A Rationality Problem of Certain A₄ Action
  Huah Chu, Shou-Jen Hu & Ming-chang Kang
• Characterization of Multi-Continued Fractions for Multi-Formal Laurent Series
  Zongduo Dai, Kunpeng Wang & Dingfeng Ye
• Eulerian Trails and Hamiltonian Paths in Digraphs with Anti-involutions
  Yi Fang & Zongzhu Lin
• Efficient Pairing Computation on Curves
  Rongquan Feng & Hongfeng Wu
• Some Ideas and Results in Group Theory
  Wenbin Guo
• On a Class of Strongly Regular Designs and Quasi-semisymmetric Designs
  Tayuan Huang, Lingling Huang & Miaow-Ing Lin
• Γ-Leading Homogeneous Algebras and Gröbner Bases
  Huishi Li
• Automorphism Groups of Lie Algebras from Quantum Tori
  Jianbo Liu & Kaiming Zhao
• Quasifinite Representations of Some Lie Algebras Related to the Virasoro Algebra
  Yucai Su
• On Galois Extensions with an Inner Galois Group
  George Szeto & Lianyong Xue
• Representations of Algebraic Groups: Some Basics and Progresses
  Nanhua Xi
• Broué’s Conjecture for Finite Groups with Abelian Sylow p-Subgroups
  Jiping Zhang & Zhikai Zhang
• An Interesting Member ID-based Group Signature
  Sujing Zhou & Dongdai Lin
• Curriculum Vitae and Publications of Zhexian Wan

About the Series

Published jointly by International Press and by Higher Education Press of China, the Advanced Lectures in Mathematics (ALM) series brings the latest mathematical developments worldwide to both researchers and students. Each volume consists of either an expository monograph or a collection of significant introductions to important topics. The ALM series emphasizes discussion of the history and significance of each topic discussed, with an overview of the current status of research, and presentation of the newest cutting-edge results.

Other volumes in the Advanced Lectures in Mathematics series

Vol. 7. Handbook of Geometric Analysis, No. 1

Vol. 6. Geometry, Analysis and Topology of Discrete Groups

Vol. 5. Fourth International Congress of Chinese Mathematicians (2007)

Vol. 4. Variational Principles for Discrete Surfaces

Vol. 3. Computational Conformal Geometry

Vol. 2. Asymptotic Theory in Probability and Statistics with Applications

Vol. 1. Superstring Theory

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