Hello visitor from USA USA - 78 visiting from China 49 China France 15 France USA 10 USA Ireland 1 Ireland Japan 1 Japan Singapore 1 Singapore UK 1 UK
Free Join Now   Chat Now with Members Online  B2B Chat Center
 
This Month's Highlights:
- PrintLabels (China): Print Labels, Stickers, Tags, Epoxy Resin Stickers http://www.inecreative.com
- Sayhi0307 (China): Shipping Rates From China, Air Freight Rate From China, Ocean Freight Quote, Shipping Cost, Shipping Price, Freight Quote http://www.sztaizhou.com
 
 
 

Book The Second Volume Of Lie Groups And Lie Algebras Freeshipping

Posted at: Offers to Sell and Export | Posted on: Mon 07 Jun, 2010 1:16 am | Product Category: Algebra or pre algebra reference guides [21]
 
book second volume lie groups algebras freeshipping
Products Photos CatalogBook Second Volume Lie Photos Catalog



Lie Groups and Lie Algebras 2 Discrete Subgroups of Lie Groups and Cohomologies of Lie Groups and Lie



Algebras, by A.L.onishchik, English, Hardcover, 2009

Product Details

Author A.L.onishchik

Press Science Press

Isbn 7030235053/9787030235053

Publication Date Jan 2009

Pages 223

Size 16K

Edition First

Cover Hardcover

Language English

Page material gelatine plate paper

Product Description:

This book can be useful as a reference and research guide to graduate students and researchers in different areas of mathematics and theoretical physics.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.

Content:

Chapter 0. Introduction

Chapter 1. Discrete Subgroups of Locally Compact Topological Groups.

1. The Simplest Properties of Lattices

1.1. Definition of a Discrete Subgroup. Examples

1.2. Commensurability and Reducibility of Lattices

2. Discrete Groups of Transformations

2.1. Basic Definitions and Examples

2.2. Covering Sets and Fundamental Domains of a Discrete Group of Transformations

3. Group-Theoretical Properties of Lattices in Lie Groups

3.1. Finite Presentability of Lattices

3.2. A Theorem of Selberg and Some of Its Consequences

3.3. The Property (T)

4. Intersection of Discrete Subgroups with Closed Subgroups

4.1. T-Closedness of Subgroups

4.2. Subgroups with Good F-Heredity

4.3. Quotient Groups with Good F-Heredity

4.4. F-closure

5. The Space of Lattices of a Locally Compact Group

5.1. Chabauty's Topology

5.2. Minkowski's Lemma

5.3. Mahler's Criterion

6. Rigidity of Discrete Subgroups of Lie Groups

6.1. Space of Homomorphisms and Deformations

6.2. Rigidity and Cohomology

6.3. Deformation of Uniform Subgroups

7. Arithmetic Subgroups of Lie Groups

7.1. Definition of an Arithmetic Subgroup

7.2. When Are Arithmetic Groups Lattices (Uniform Lattices)?

7.3. The Theorem of Borel and Harish-Chandra and the Theorem of Godement

7.4. Definition of an Arithmetic Subgroup of a Lie Group

8. The Borel Density Theorem

8.1. The Property (S)

8.2. Proof of the Density Theorem

Chapter 2. Lattices in Solvable Lie Groups

1. Discrete Subgroups in Abelian Lie Groups

1.1. Historical Remarks

1.2. Structure of Discrete Subgroups in Simply-Connected Abelian Lie Groups

1.3. Structure of Discrete Subgroups in Arbitrary Connected Abelian Groups

1.4. Use of the Language of the Theory of Algebraic Groups

1.5. Extendability of Lattice Homomorphisms

2. Lattices in Nilpotent Lie Groups

2.1. Introductory Remarks and Examples

2.2. Structure of Lattices in Nilpotent Lie Groups

2.3. Lattice Homomorphisms in Nilpotent Lie Groups

2.4. Existence of Lattices in Nilpotent Lie Groups and Their Classification

2.5. Lattices and Lattice Subgroups in Nilpotent Lie Groups

3. Lattices in Arbitrary Solvable Lie Groups

3.1. Examples of Lattices in Solvable Lie Groupsof Low Dimension

3.2. Topology of Solvmanifolds of Type R/T

3.3. Some General Properties of Lattices in Solvable Lie Groups

3.4. Mostow's Structure Theorem

3.5. Wang Groups

3.6. Splitting of Solvable Lie Groups

3.7. Criteria for the Existence of a Lattice in a Simply-Connected Solvable Lie Group

3.8. Wang Splitting and its Applications

3.9. Algebraic Splitting and its Applications

3.10. Linear Representability of Lattices

4. Deformations and Cohomology of Lattices in Solvable Lie Groups .

4.1. Description of Deformations of Lattices in Simply-Connected Lie Groups

4.2. On the Cohomology of Lattices in Solvable Lie Groups

5. Lattices in Special Classes of Solvable Lie Groups

5.1. Lattices in Solvable Lie Groups of Type (I)

5.2. Lattices in Lie Groups of Type (R)

5.3. Lattices in Lie Groups of Type (E)

5.4. Lattices in Complex Solvable Lie Groups

5.5. Solvable Lie Groups of Small Dimension, Having Lattices.

Chapter 3. Lattices in Semisimple Lie Groups

1. General Information

1.1. Reducibility of Lattices

1.2. The Density Theorem

2. Reduction Theory

2.1. Geometrical Language. Construction of a Reduced Basis .

2.2. Proof of Mahler's Criterion

2.3. The Siegel Domain

3. The Theorem of Borel and Harish-Chandra (Continuation)

3.1. The Case of a Torus

3.2. The Semisimple Case (Siegel Domains)

3.3. Proof of Godement's Theorem in the Semisimple Case ...

4. Criteria for Uniformity of Lattices. Covolumes of Lattices

4.1. Unipotent Elements in Lattices

4.2. Covolumes of Lattices in Semisimple Lie Groups

5. Strong Rigidity of Lattices in Semisimple Lie Groups

5.1. A Theorem on Strong Rigidity

5.2. Satake Compactifications of Symmetric Spaces

5.3. Plan of the Proof of Mostow's Theorem

6. Arithmetic Subgroups

6.1. The Field Restriction Functor

6.2. Construction of Arithmetic Lattices

6.3. Maximal Arithmetic Subgroups

6.4. The Commensurator

6.5. Normal Subgroups of Arithmetic Groups and Congruence-Subgroups

6.6. The Arithmeticity Problem

7. Cohomology of Lattices in Semisimple Lie Groups

7.1. One-dimensional Cohomology

7.2. Higher Cohomologies

Chapter 4. Lattices in Lie Groups of General Type

1. Bieberbach's Theorems and their Generalizations

1.1. Bieberbach's Theorems

1.2. Lattices in E(n) and Flat Riemannian Manifolds

1.3. Generalization of the First Bieberbach Theorem

2. Deformations of Lattices in Lie Groups of General Type

2.1. Description of the Space of Deformations of Uniform Lattices

2.2. The Levi-Mostow Decomposition for Lattices in Lie Groups of General Type

3. Some Cohomological Properties of Lattices "

3.1. On the Cohomological Dimension of Lattices

3.2. The Euler Characteristic of Lattices in Lie Groups

3.3. On the Determination of Properties of Lie Groups by the Lattices in Them

References





Company Contact:

BookWholesale photo
Contact Name: Jing
Company Name: Hangzhou Wholesale Tech Trading Co., Ltd
Email: Email
Tel: 0086-571-86980049
Fax: 0086-571-86980049
Street Address: A-2211, Xinqingnian
Square, Gongshu District, Hangzhou,
310015, China
Website: http://www.book-wholesale.com
Member name: BookWholesale
Country: China-CN China
Member Since: 13 May 2010
Total Leads: 4528 BookWholesale Import Export Business Leads
Business focus: Books, Nonfiction, Fiction, Chinese for Foreigners, Comics, Literature, Textbooks, Language, Cooking, Chinese Classics, Children, Business, Computer
Chat:
Verify: Safe Import Export Tips
Product Category: Algebra or pre algebra reference guides [21]
 
 
 

Similar LeadsSimilar Suppliers And Manufacturers Import Export Trade Leads

Start Import Export Stories Import Export Startup Stories

Share Your Story & Get Listed at StartImportExport.com

 
 
 
TradersCity Free Import Export Trade Leads B2B Board  Offers to Sell and Export
 
TradersCity.com shall not be held liable for any user posted/submitted content including but not limited to trade leads, profiles, images, and any other data. TradersCity.com does not and did not verify any of users posted/submitted data nor is implicitly or explicitly recommending these business offers. TradersCity does not verify truthfulness, accuracy, completeness, nor legality of any businesses, services, and leads posted here. TradersCity does not represent Sellers or Buyers in any transaction between users of the website and is unable to make any opinion in regard to their performance in any transaction. TradersCity neither guarantees nor undertakes in any dispute between sellers and buyers. Protect your business from fraud by trading safely