Author: Katrin Tent
Publisher: Cambridge University Press
ISBN: 9780521010634
Category : Mathematics
Languages : en
Pages : 314
Book Description
Introduction to buildings and their geometries with emphasis on model theoretic constructions, covering recent developments.
Tits Buildings and the Model Theory of Groups
Author: Katrin Tent
Publisher: Cambridge University Press
ISBN: 9780521010634
Category : Mathematics
Languages : en
Pages : 314
Book Description
Introduction to buildings and their geometries with emphasis on model theoretic constructions, covering recent developments.
Publisher: Cambridge University Press
ISBN: 9780521010634
Category : Mathematics
Languages : en
Pages : 314
Book Description
Introduction to buildings and their geometries with emphasis on model theoretic constructions, covering recent developments.
Buildings and Classical Groups
Author: Paul B. Garrett
Publisher: CRC Press
ISBN: 9780412063312
Category : Mathematics
Languages : en
Pages : 396
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.
Publisher: CRC Press
ISBN: 9780412063312
Category : Mathematics
Languages : en
Pages : 396
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.
Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1
Author: Raf Cluckers
Publisher: Cambridge University Press
ISBN: 1139499793
Category : Mathematics
Languages : en
Pages : 347
Book Description
Assembles different theories of motivic integration for the first time, providing all of the necessary background for graduate students and researchers from algebraic geometry, model theory and number theory. In a rapidly-evolving area of research, this volume and Volume 2, which unite the several viewpoints and applications, will prove invaluable.
Publisher: Cambridge University Press
ISBN: 1139499793
Category : Mathematics
Languages : en
Pages : 347
Book Description
Assembles different theories of motivic integration for the first time, providing all of the necessary background for graduate students and researchers from algebraic geometry, model theory and number theory. In a rapidly-evolving area of research, this volume and Volume 2, which unite the several viewpoints and applications, will prove invaluable.
The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
Author: John N. Bray
Publisher: Cambridge University Press
ISBN: 0521138604
Category : Mathematics
Languages : en
Pages : 453
Book Description
Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods.
Publisher: Cambridge University Press
ISBN: 0521138604
Category : Mathematics
Languages : en
Pages : 453
Book Description
Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods.
Modular Representations of Finite Groups of Lie Type
Author: James E. Humphreys
Publisher: Cambridge University Press
ISBN: 9780521674546
Category : Mathematics
Languages : en
Pages : 260
Book Description
A comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic.
Publisher: Cambridge University Press
ISBN: 9780521674546
Category : Mathematics
Languages : en
Pages : 260
Book Description
A comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic.
Foundations of Computational Mathematics, Hong Kong 2008
Author: Felipe Cucker
Publisher: Cambridge University Press
ISBN: 0521739705
Category : Mathematics
Languages : en
Pages : 287
Book Description
Surveys and summaries of the latest research in numerical analysis, optimization, computer algebra and scientific computing.
Publisher: Cambridge University Press
ISBN: 0521739705
Category : Mathematics
Languages : en
Pages : 287
Book Description
Surveys and summaries of the latest research in numerical analysis, optimization, computer algebra and scientific computing.
Highly Oscillatory Problems
Author: Bjorn Engquist
Publisher: Cambridge University Press
ISBN: 0521134439
Category : Mathematics
Languages : en
Pages : 254
Book Description
Review papers from experts in areas of active research into highly oscillatory problems, with an emphasis on computation.
Publisher: Cambridge University Press
ISBN: 0521134439
Category : Mathematics
Languages : en
Pages : 254
Book Description
Review papers from experts in areas of active research into highly oscillatory problems, with an emphasis on computation.
Automorphic Forms and Galois Representations
Author: Fred Diamond
Publisher: Cambridge University Press
ISBN: 1107693632
Category : Mathematics
Languages : en
Pages : 387
Book Description
Part two of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.
Publisher: Cambridge University Press
ISBN: 1107693632
Category : Mathematics
Languages : en
Pages : 387
Book Description
Part two of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.
Recent Advances in Algebraic Geometry
Author: Christopher D. Hacon
Publisher: Cambridge University Press
ISBN: 110764755X
Category : Mathematics
Languages : en
Pages : 451
Book Description
A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.
Publisher: Cambridge University Press
ISBN: 110764755X
Category : Mathematics
Languages : en
Pages : 451
Book Description
A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.
Moduli Spaces
Author: Leticia Brambila
Publisher: Cambridge University Press
ISBN: 1107636388
Category : Mathematics
Languages : en
Pages : 347
Book Description
A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.
Publisher: Cambridge University Press
ISBN: 1107636388
Category : Mathematics
Languages : en
Pages : 347
Book Description
A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.