Tits Buildings and the Model Theory of Groups PDF Download
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Author: Katrin Tent
Publisher: Cambridge University Press
ISBN: 9780521010634
Category : Mathematics
Languages : en
Pages : 314
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Book Description
Introduction to buildings and their geometries with emphasis on model theoretic constructions, covering recent developments.
Author: Katrin Tent
Publisher: Cambridge University Press
ISBN: 9780521010634
Category : Mathematics
Languages : en
Pages : 314
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Book Description
Introduction to buildings and their geometries with emphasis on model theoretic constructions, covering recent developments.
Author: Paul B. Garrett
Publisher: CRC Press
ISBN: 9780412063312
Category : Mathematics
Languages : en
Pages : 396
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Book Description
Buildings are highly structured, geometric objects, primarily used in the finer study of the groups that act upon them. In Buildings and Classical Groups, the author develops the basic theory of buildings and BN-pairs, with a focus on the results needed to apply it to the representation theory of p-adic groups. In particular, he addresses spherical and affine buildings, and the "spherical building at infinity" attached to an affine building. He also covers in detail many otherwise apocryphal results. Classical matrix groups play a prominent role in this study, not only as vehicles to illustrate general results but as primary objects of interest. The author introduces and completely develops terminology and results relevant to classical groups. He also emphasizes the importance of the reflection, or Coxeter groups and develops from scratch everything about reflection groups needed for this study of buildings. In addressing the more elementary spherical constructions, the background pertaining to classical groups includes basic results about quadratic forms, alternating forms, and hermitian forms on vector spaces, plus a description of parabolic subgroups as stabilizers of flags of subspaces. The text then moves on to a detailed study of the subtler, less commonly treated affine case, where the background concerns p-adic numbers, more general discrete valuation rings, and lattices in vector spaces over ultrametric fields. Buildings and Classical Groups provides essential background material for specialists in several fields, particularly mathematicians interested in automorphic forms, representation theory, p-adic groups, number theory, algebraic groups, and Lie theory. No other available source provides such a complete and detailed treatment.
Author: Harold Scott Macdonald Coxeter
Publisher: American Mathematical Soc.
ISBN: 9780821887608
Category : Mathematics
Languages : en
Pages : 344
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Book Description
This collection of essays on the legacy of mathematican Donald Coxeter is a mixture of surveys, updates, history, storytelling and personal memories covering both applied and abstract maths. Subjects include: polytopes, Coxeter groups, equivelar polyhedra, Ceva's theorum, and Coxeter and the artists.
Author: John Coates
Publisher: Cambridge University Press
ISBN: 1139505653
Category : Mathematics
Languages : en
Pages : 321
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Book Description
This book describes the interaction between several key aspects of Galois theory based on Iwasawa theory, fundamental groups and automorphic forms. These ideas encompass a large portion of mainstream number theory and ramifications that are of interest to graduate students and researchers in number theory, algebraic geometry, topology and physics.
Author: Anthony G. O'Farrell
Publisher: Cambridge University Press
ISBN: 1316195767
Category : Mathematics
Languages : en
Pages : 295
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Book Description
Reversibility is a thread woven through many branches of mathematics. It arises in dynamics, in systems that admit a time-reversal symmetry, and in group theory where the reversible group elements are those that are conjugate to their inverses. However, the lack of a lingua franca for discussing reversibility means that researchers who encounter the concept may be unaware of related work in other fields. This text is the first to make reversibility the focus of attention. The authors fix standard notation and terminology, establish the basic common principles, and illustrate the impact of reversibility in such diverse areas as group theory, differential and analytic geometry, number theory, complex analysis and approximation theory. As well as showing connections between different fields, the authors' viewpoint reveals many open questions, making this book ideal for graduate students and researchers. The exposition is accessible to readers at the advanced undergraduate level and above.
Author: Tullio Ceccherini-Silberstein
Publisher: Cambridge University Press
ISBN: 1107627850
Category : Mathematics
Languages : en
Pages : 177
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Book Description
A self-contained introduction to the representation theory and harmonic analysis of wreath products of finite groups, with examples and exercises.
Author: Mircea Sofonea
Publisher: Cambridge University Press
ISBN: 1107606659
Category : Science
Languages : en
Pages : 295
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Book Description
A complete introduction to the modelling and mathematical analysis of contact processes with deformable solids.
Author: Avinoam Mann
Publisher: Cambridge University Press
ISBN: 113950567X
Category : Mathematics
Languages : en
Pages : 211
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Book Description
This book introduces the subject of the growth of groups from scratch, starting with basic definitions and culminating in the seminal results of Gromov and Grigorchuk and more. It is valuable reading for researchers from graduate students up who want to be acquainted with contemporary group theory.
Author:
Publisher: Cambridge University Press
ISBN:
Category :
Languages : en
Pages : 248
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Book Description
Author: Nicholas Young
Publisher: Cambridge University Press
ISBN: 0521691826
Category : Mathematics
Languages : en
Pages : 327
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Book Description
A collection of survey articles by leading young researchers, showcasing the vitality of Russian mathematics.
