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Reduction Theory and Arithmetic Groups by Joachim Schwermer: New
US $115.73
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eBay item number:364228766501
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- Book Title
- Reduction Theory and Arithmetic Groups
- Publication Date
- 2022-12-15
- Pages
- 376
- ISBN
- 9781108832038
About this product
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
1108832032
ISBN-13
9781108832038
eBay Product ID (ePID)
27057249431
Product Key Features
Number of Pages
374 Pages
Publication Name
Reduction Theory and Arithmetic Groups
Language
English
Publication Year
2022
Subject
Number Theory
Type
Textbook
Subject Area
Mathematics
Series
New Mathematical Monographs
Format
Hardcover
Dimensions
Item Height
1 in
Item Length
9.9 in
Item Width
6.9 in
Additional Product Features
LCCN
2022-022858
Dewey Edition
23
Series Volume Number
Series Number 45
Illustrated
Yes
Dewey Decimal
512.2
Table Of Content
Part I. Arithmetic Groups in the General Linear Group: 1. Modules, lattices, and orders; 2. The general linear group over rings; 3. A menagerie of examples - a historical perspective; 4. Arithmetic groups; 5. Arithmetically defined Kleinian groups and hyperbolic 3-space; Part II. Arithmetic Groups Over Global Fields: 6. Lattices - Reduction theory for GLn; 7. Reduction theory and (semi)-stable lattices; 8. Arithmetic groups in algebraic k-groups; 9. Arithmetic groups, ambient Lie groups, and related geometric objects; 10. Geometric cycles; 11. Geometric cycles via rational automorphisms; 12. Reduction theory for adelic coset spaces; Appendices: A. Linear algebraic groups - a review; B. Global fields; C. Topological groups, homogeneous spaces, and proper actions; References; Index.
Synopsis
Arithmetic groups are generalisations, to the setting of algebraic groups over a global field, of the subgroups of finite index in the general linear group with entries in the ring of integers of an algebraic number field. They are rich, diverse structures and they arise in many areas of study. This text enables you to build a solid, rigorous foundation in the subject. It first develops essential geometric and number theoretical components to the investigations of arithmetic groups, and then examines a number of different themes, including reduction theory, (semi)-stable lattices, arithmetic groups in forms of the special linear group, unipotent groups and tori, and reduction theory for adelic coset spaces. Also included is a thorough treatment of the construction of geometric cycles in arithmetically defined locally symmetric spaces, and some associated cohomological questions. Written by a renowned expert, this book is a valuable reference for researchers and graduate students., Filling a gap in the literature, this text gives a solid, rigorous foundation in the subject of the arithmetic of algebraic groups and reduction theory. It follows different developments in this area, geometric as well as number theoretical, at a level suitable for graduate students and researchers in related fields.
LC Classification Number
QA174.2.S349 2023
Item description from the seller
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- 3***6 (845)- Feedback left by buyer.Past monthVerified purchaseGood book in good used condition, fair price, arrived fast.
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Seller feedback (513,422)
- 3***6 (845)- Feedback left by buyer.Past monthVerified purchaseGood book in good used condition, fair price, arrived fast.
- r***a (510)- Feedback left by buyer.Past monthVerified purchaseCame on time and in proper condition
- s***r (131)- Feedback left by buyer.Past monthVerified purchaseIn great shape!!