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　　分類: 图书,自然科学,数学,代数 数论 组合理论,

作者： （俄罗斯）奥尼契科 等编著

出 版 社： 科学出版社

出版时间： 2009-1-1字数： 281000版次： 1页数： 223印刷时间： 2009/01/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9787030235053包装： 精装编辑推荐

The first part of this book on Discrete Subgroups of Lie Groups is written by E.B. Vinberg, V.V. Gorbatsevich, and O.V. Shvartsman. Various types of discrete subgroups of Lie groups arise in the theory of functions of complex variables, arithmetic, geometry, and crystallography.Part II on Cohomologies of Lie Groups and Lie Algebras is written by B.L. Feigin and D.B. Fuchs. It contains different definitions ofcohomologies of Lie groups and Lie algebras, the main methods of their calculation, and the results of these calculations.

内容简介

The first part of this book on Discrete Subgroups of Lie Groups is written by E.B. Vinberg, V.V. Gorbatsevich, and O.V. Shvartsman. Various types of discrete subgroups of Lie groups arise in the theory of functions of complex variables, arithmetic, geometry, and crystallography. Since the foundation of their general theory in the 50-60s of this century, considerable and in many respects exhaustive results were obtained. This development is reflected in this survey. Both semisimple and general Lie groups are considered. Part II on Cohomologies of Lie Groups and Lie Algebras is written by B.L. Feigin and D.B. Fuchs. It contains different definitions ofcohomologies of Lie groups and (both finite-dimensional and some infinite-dimensional)Lie algebras, the main methods of their calculation, and the results of these calculations. The book can be useful as a reference and research guide to graduate students and researchers in different areas of mathematics and theoretical physics.

目录

Ⅰ.Discrete Subgroups of Lie Groups

Ⅱ.Cohomologies of Lie Groups and Lie Algebras

Author Index

Subject Index

 

 

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