Описание: This volume focuses on the representation theory of groups and related structures, combining the modular representation theory of finite groups of Richard Brauer and the representation theory of reductive groups of George Lusztig.
Автор: Conrad Название: Pseudo-reductive Groups ISBN: 1107087236 ISBN-13(EAN): 9781107087231 Издательство: Cambridge Academ Рейтинг: Цена: 17899.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable form. This second edition has been revised and updated, with Chapter 9 being completely rewritten via the useful new notion of `minimal type` for pseudo-reductive groups.
Автор: Gan Wee Teck, Tan Kai Meng Название: Modular Representation Theory of Finite and P-Adic Groups ISBN: 981465180X ISBN-13(EAN): 9789814651806 Издательство: World Scientific Publishing Рейтинг: Цена: 13939.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume is an outgrowth of the program Modular Representation Theory of Finite and p-Adic Groups held at the Institute for Mathematical Sciences at National University of Singapore during the period of 1-26 April 2013.
Автор: W. Plesken Название: Group Rings of Finite Groups Over p-adic Integers ISBN: 3540127283 ISBN-13(EAN): 9783540127284 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Bernard Dwork Название: Lectures on p-adic Differential Equations ISBN: 1461381959 ISBN-13(EAN): 9781461381952 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The present work treats p-adic properties of solutions of the hypergeometric differential equation d2 d ~ ( x(l - x) dx + (c(l - x) + (c - 1 - a - b)x) dx - ab)y = 0, 2 with a, b, c in 4) n Zp, by constructing the associated Frobenius structure. Contents 1 Introduction . . . . . . . Transcendental Theory . Hasse Invariants . The a --+ a` Map .
Описание: Based on a series of lectures given by Harish-Chandra at the Institute for Advanced Study in 1971-1973, this book provides an introduction to the theory of harmonic analysis on reductive p-adic groups. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-pr
Based on a series of lectures given by Harish-Chandra at the Institute for Advanced Study in 1971-1973, this book provides an introduction to the theory of harmonic analysis on reductive p-adic groups.
Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Автор: Neal Koblitz Название: p-adic Numbers, p-adic Analysis, and Zeta-Functions ISBN: 1461270146 ISBN-13(EAN): 9781461270140 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This work has become the standard introduction to the theory of p-adic numbers. The 2nd edition adds a deeper treatment of p-adic functions, including the Iwasawa logarithm and the p-adic gamma-function, plus new exercises and an appendix of answers and hints.
Автор: Alain M. Robert Название: A Course in p-adic Analysis ISBN: 0387986693 ISBN-13(EAN): 9780387986692 Издательство: Springer Рейтинг: Цена: 8798.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: It offers many features rarely treated in introductory p-adic texts such as topological models of p-adic spaces inside Euclidian space, a special case of Hazewinkel`s functional equation lemma, and a treatment of analytic elements.
Описание: Pseudodifferential Operators Over the Real Field.- Wavelets Over the Real Field.- p-adic Mathematical Analysis.- Pseudodifferential Operators Over p-adic Fields.- Wavelets on p-adic Fields.
Автор: Weng, Lin (kyushu Univ, Japan) Название: Zeta functions of reductive groups and their zeros ISBN: 9813231521 ISBN-13(EAN): 9789813231528 Издательство: World Scientific Publishing Рейтинг: Цена: 29304.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book provides a systematic account of several breakthroughs in the modern theory of zeta functions. It contains two different approaches to introduce and study genuine zeta functions for reductive groups (and their maximal parabolic subgroups) defined over number fields. Namely, the geometric one, built up from stability of principal lattices and an arithmetic cohomology theory, and the analytic one, from Langlands' theory of Eisenstein systems and some techniques used in trace formula, respectively. Apparently different, they are unified via a Lafforgue type relation between Arthur's analytic truncations and parabolic reductions of Harder-Narasimhan and Atiyah-Bott. Dominated by the stability condition and/or the Lie structures embedded in, these zeta functions have a standard form of the functional equation, admit much more refined symmetric structures, and most surprisingly, satisfy a weak Riemann hypothesis. In addition, two levels of the distributions for their zeros are exposed, i.e. a classical one giving the Dirac symbol, and a secondary one conjecturally related to GUE.
This book is written not only for experts, but for graduate students as well. For example, it offers a summary of basic theories on Eisenstein series and stability of lattices and arithmetic principal torsors. The second part on rank two zeta functions can be used as an introduction course, containing a Siegel type treatment of cusps and fundamental domains, and an elementary approach to the trace formula involved. Being in the junctions of several branches and advanced topics of mathematics, these works are very complicated, the results are fundamental, and the theory exposes a fertile area for further research.
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