Reduction Theory and Arithmetic Groups Hardback
by Joachim (Universitat Wien, Austria) Schwermer
Part of the New Mathematical Monographs series
Hardback
Description
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.
Information
-
Only a few left - usually despatched within 24 hours
- Format:Hardback
- Pages:374 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:15/12/2022
- Category:
- ISBN:9781108832038
Information
-
Only a few left - usually despatched within 24 hours
- Format:Hardback
- Pages:374 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:15/12/2022
- Category:
- ISBN:9781108832038