群与格引论
￥ 37.5 6.5折 ￥ 58 九五品
仅1件
作者(美)格里斯 著
出版社高等教育出版社
ISBN9787040292053
出版时间2010-05
版次1
装帧精装
开本16开
纸张胶版纸
页数251页
字数99999千字
定价58元
上书时间2024-05-14
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基本信息
书名:群与格引论
定价：58.00元
作者:(美)格里斯 著
出版社：高等教育出版社
出版日期：2010-05-01
ISBN：9787040292053
字数：370000
页码：251
版次：1
装帧：精装
开本：16开
商品重量：
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内容提要
The launch of this Advanced Lectures in Mathematics series is aimed at keg mathematicians informed of the latest developments in mathematics, as well as to aid in the learning of new mathematical topics by students all over the world.Each volume consists of either an expository monograph or a collection of signifi- cant introductions to important topics. This series emphasizes the history and sources of motivation for the topics under discussion, and also gives an overview of the current status of research in each particular field. These volumes are the first source to which people will turn in order to learn new subjects and to dis- cover the latest results of many cutting-edge fields in mathematics.
目录
1 Introduction 1.1 Outline of the book 1.2 Suggestions for further reading 1.3 Notations, background, conventions2 Bilinear Forms, Quadratic Forms and Their Isometry Groups. 2.1 Standard results on quadratic forms and reflections 2.1.1 Principal ideal domains (PIDs) 2.2 Linear algebra 2.2.1 Interpretation of nonsingularity 2.2.2 Extension of scalars 2.2.3 Cyclicity of the values of a rational bilinea.r form 2.2.4 Gram matrix 2.3 Discriminant group 2.4 Relationetween a lattice and sublattices 2.5 Involutions on quadratic spaces 2.6 Standard results on quadratic forms and reflections, II 2.6.1 Involutions on lattices 2.7 Scaled isometries: norm doublers and triplers 3 General Results on Finite Groups and Invariant Lattices 3.1 Discreteness of rational lattices 3.2 Finiteness of the isometry group 3.3 Construction of a G-invariant bilinear form 3.4 Semidirect products and wreath products 3.5 Orthogonal decomposition of lattices4 Root Lattices of Types A, D, E 4.1 Background from Lie theory 4.2 Root lattices, their duals and their isometry groups 4.2.1 Definition of the AN lattices……
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