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Titlebook: Steinberg Groups for Jordan Pairs; Ottmar Loos,Erhard Neher Book 2019 Springer Science+Business Media, LLC, part of Springer Nature 2019 S

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發(fā)表于 2025-3-21 18:11:20 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Steinberg Groups for Jordan Pairs
編輯Ottmar Loos,Erhard Neher
視頻videohttp://file.papertrans.cn/878/877139/877139.mp4
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-
叢書(shū)名稱Progress in Mathematics
圖書(shū)封面Titlebook: Steinberg Groups for Jordan Pairs; Ottmar Loos,Erhard Neher Book 2019 Springer Science+Business Media, LLC, part of Springer Nature 2019 S
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
關(guān)鍵詞Steinberg groups; Jordan pairs; Weyl group; Elementary groups; Jordan algebras; Idempotents; Graph theory
版次1
doihttps://doi.org/10.1007/978-1-0716-0264-5
isbn_ebook978-1-0716-0264-5Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightSpringer Science+Business Media, LLC, part of Springer Nature 2019
The information of publication is updating

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沙發(fā)
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Groups With Commutator Relations,he usual sense and with a view towards later applications, we base at least part of the theory on “sets in free abelian groups”, that is, pairs (.) consisting of a free abelian group . and a subset . of . generating . and containing 0. With an obvious definition of morphisms, they form a category ..
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0743-1643 ybody interested in this area who seeks an alternative to case-by-case arguments and explicit matrix calculations will find this book essential..978-1-0716-0264-5Series ISSN 0743-1643 Series E-ISSN 2296-505X
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Groups With Commutator Relations,he usual sense and with a view towards later applications, we base at least part of the theory on “sets in free abelian groups”, that is, pairs (.) consisting of a free abelian group . and a subset . of . generating . and containing 0. With an obvious definition of morphisms, they form a category ..
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發(fā)表于 2025-3-22 22:56:19 | 只看該作者
Groups Associated With Jordan Pairs, we give a leisurely introduction to Jordan pairs in 6. In particular, we present the most important examples, and introduce fundamental notions, such as quasi-invertible pairs and the inner automorphisms defined by them, idempotents and their Peirce decompositions.
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Springer Science+Business Media, LLC, part of Springer Nature 2019
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Steinberg Groups for Jordan Pairs978-1-0716-0264-5Series ISSN 0743-1643 Series E-ISSN 2296-505X
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