| 书目名称 | Steinberg Groups for Jordan Pairs | | 编辑 | Ottmar Loos,Erhard Neher | | 视频video | | | 概述 | Develops a unified theory of Steinberg groups, independent of matrix representations, based on the theory of Jordan pairs and the theory of 3-graded locally finite root systems.Simplifies the case-by- | | 丛书名称 | Progress in Mathematics | | 图书封面 |  | | 描述 | The present monograph develops a unified theory of Steinberg groups, independent of matrix representations, based on the theory of Jordan pairs and the theory of 3-graded locally finite root systems..The development of this approach occurs over six chapters, progressing from groups with commutator relations and their Steinberg groups, then on to Jordan pairs, 3-graded locally finite root systems, and groups associated with Jordan pairs graded by root systems, before exploring the volume‘s main focus: the definition of the Steinberg group of a root graded Jordan pair by a small set of relations, and its central closedness. Several original concepts, such as the notions of Jordan graphs and Weyl elements, provide readers with the necessary tools from combinatorics and group theory..Steinberg Groups for Jordan Pairs. is ideal for PhD students and researchers in the fields of elementary groups, Steinberg groups, Jordanalgebras, and Jordan pairs. By adopting a unified approach, anybody interested in this area who seeks an alternative to case-by-case arguments and explicit matrix calculations will find this book essential.. | | 出版日期 | Book 2019 | | 关键词 | Steinberg groups; Jordan pairs; Weyl group; Elementary groups; Jordan algebras; Idempotents; Graph theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-0716-0264-5 | | isbn_ebook | 978-1-0716-0264-5Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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发表于 2025-3-21 18:11:20
