Reduction Theory and Arithmetic Groups by Joachim Schwermer: New
US $115.73
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Item specifics
- Condition
- Book Title
- Reduction Theory and Arithmetic Groups
- Publication Date
- 2022-12-15
- Pages
- 376
- ISBN
- 9781108832038
- Subject Area
- Mathematics
- Publication Name
- Reduction Theory and Arithmetic Groups
- Publisher
- Cambridge University Press
- Item Length
- 9.9 in
- Subject
- Number Theory
- Publication Year
- 2022
- Series
- New Mathematical Monographs
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 1 in
- Item Width
- 6.9 in
- Number of Pages
- 374 Pages
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
Language
English
Publication Name
Reduction Theory and Arithmetic Groups
Subject
Number Theory
Publication Year
2022
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
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- a***a (346)- Feedback left by buyer.Past 6 monthsVerified purchaseThis hardback book is of the highest quality, has a fine appearance , arrived in perfect condition, and is an excellent value. On what I was not asked about this time, communicating with the seller would have required using email outside of the eBay system, because they do not accept eBay messages, the book was well packed in a purpose-designed cardboard box, the shipping was faster than I expected for the bound media rate, and the book was exactly as described and pictured.Tameshigiri - The History and Development of Japanese Sword Testing by Sesko (#282906424466)
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Seller feedback (504,192)
- a***e- Feedback left by buyer.Past monthVerified purchaseProfessional Seller; Wide Inventory Selection; Competitive Prices; Great Communication; FAST Ship; Item Safely & Well-Packaged; Item Accurately Described in Listing; Item of High Quality and in Mint Condition; Appearance of Item is Great! Highly Recommended; Hope to Do Business with Again! Thank You Very Much!
- m***u (855)- Feedback left by buyer.Past 6 monthsVerified purchaseAbsolutely delightful seller! As pictured and described, fast shipping, and great communication! Excellent packaging and a phenomenal value! This seller is an extremely valuable asset to the eBay community! A++++! ✨🥇✨
- a***a (346)- Feedback left by buyer.Past 6 monthsVerified purchaseThis hardback book is of the highest quality, has a fine appearance , arrived in perfect condition, and is an excellent value. On what I was not asked about this time, communicating with the seller would have required using email outside of the eBay system, because they do not accept eBay messages, the book was well packed in a purpose-designed cardboard box, the shipping was faster than I expected for the bound media rate, and the book was exactly as described and pictured.Tameshigiri - The History and Development of Japanese Sword Testing by Sesko (#282906424466)