Arithmetic Groups and Reduction Theory (Record no. 58782)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02297 a2200277 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240704b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9787040533750 (HB) |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | 512.74 |
| Item number | BOR |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Borel, Armand |
| 245 ## - TITLE STATEMENT | |
| Title | Arithmetic Groups and Reduction Theory |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | Higher Education Press |
| Year of publication | 2020 |
| Place of publication | Beijing |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | ix, 138p. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Classical Topics in Mathematics |
| Volume number/sequential designation | 10 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes Bibliography |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. On the Reduction Theory of Quadratic Forms<br/>2.Reduction of Quadratic Forms, According to Minkowski and Siegel<br/>3. Groups of Indefinite Quadratic Forms and Alternating Bilinear Forms<br/>4. Discontinuous Subgroups of Classical Groups<br/>5. Fundamental Sets for Arithmetic Groups<br/>6. Fundamental Domains of Arithmetic Groups |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Arithmetic subgroups of Lie groups are a natural generalization of SL(n,Z) in SL(n,R)<br/><br/>and play an important role in the theory of automorphic forms and the theory of moduli spaces in algebraic geometry and number theory through locally symmetric spaces associated with arithmetic subgroups. One key component in the theory of arithmetic subgroups is the reduction theory which started with the work of Gauss on quadratic forms.<br/><br/>This book consists of papers and lecture notes of four great contributors of the reduction theory: Armand Borel, Roger Godement, Carl Ludwig Siegel and André Weil. They reflect their deep knowledge of the subject and their perspectives. The lecture notes of Weil are published formally for the first time, and other papers are translated into English for the first time. Therefore, this book will be a very valuable introduction and historical reference for everyone interested in arithmetic subgroups and locally symmetric spaces.<br/><br/>A publication of Higher Education Press (Beijing). Exclusive rights in North America; non-exclusive outside of North America. No distribution to mainland China unless order is received through the AMS bookstore. Online bookstore rights worldwide. All standard discounts apply.<br/> |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Algebraic Number Theory |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Quadratic forms |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
| Topical term or geographic name as entry element | Mathematics |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Godement, Roger |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Siegel,Carl Ludwig |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Weil, André |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Ji, Lizhen (Ed.) |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BOOKS |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Shelving location | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|
| IMSc Library | First Floor, Rack No: 30, Shelf No: 10 | 512.74 BOR | 78045 | BOOKS |