| 书目名称 | Quaternion Algebras | | 编辑 | John Voight | | 视频video | | | 概述 | Presents a comprehensive, open access treatment of the theory of quaternions, with the eBook free for all readers.Engages the student reader with an accessible, approachable writing style.Offers numer | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | .This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse areas of mathematics. Written to be accessible and approachable to the graduate student reader, this text collects and synthesizes results from across the literature. Numerous pathways offer explorations in many different directions, while the unified treatment makes this book an essential reference for students and researchers alike..Divided into five parts, the book begins with a basic introduction to the noncommutative algebra underlying the theory of quaternion algebras over fields, including the relationship to quadratic forms. An in-depth exploration of the arithmetic of quaternion algebras and orders follows. The third part considers analytic aspects, starting with zeta functions and then passing to an idelic approach, offering a pathway from local to global that includes strong approximation. Applications of unitgroups of quaternion orders to hyperbolic geometry and low-dimensional topology follow, relating geometric and topological properties to arithmetic invariants. Arithmetic geometry completes the volume, inclu | | 出版日期 | Textbook‘‘‘‘‘‘‘‘ 2021 | | 关键词 | Open Access; Quaternions; Quaternion algebras; Quaternion orders; Quaternion ideals; Noncommutative algeb | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-56694-4 | | isbn_softcover | 978-3-030-57467-3 | | isbn_ebook | 978-3-030-56694-4Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | The Editor(s) (if applicable) and The Author(s) 2021 |
The information of publication is updating
|
|
发表于 2025-3-21 17:19:05
