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Steinberg Groups for Jordan Pairs by Ottmar Loos at Abbey's Bookshop,
Steinberg Groups for Jordan Pairs
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Ottmar Loos Erhard Neher

Steinberg Groups for Jordan Pairs

Ottmar Loos,  Erhard Neher

$326.95   $261.21

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English
Springer-Verlag New York Inc.
11 January 2020
Algebra; Groups & group theory; Number theory; Algebraic topology
Series: Progress in Mathematics
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.
By:   ,
Imprint:   Springer-Verlag New York Inc.
Country of Publication:   United States [Currently unable to ship to USA: see Shipping Info]
Edition:   2019 ed.
Volume:   332
Dimensions:   Height: 235mm,  Width: 155mm, 
Weight:   869g
ISBN:   9781071602621
ISBN 10:   1071602624
Series:   Progress in Mathematics
Pages:   458
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

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