Steinberg Groups for Jordan Pairs

Name: Steinberg Groups for Jordan Pairs
Brand: Springer-Verlag New York Inc.
SKU: 9781071602621
Price: 770.41 RON
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Autor: Ottmar Loos, Erhard Neher

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Editura: Springer-Verlag New York Inc.

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The present monograph develops a unified theory of Steinberg groups, independent of matrix represent...

Informații despre carte

Autor

Ottmar Loos, Erhard Neher

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2020

Pagini

458

EAN

9781071602621

Enbook ID

24822916

Editura

Springer-Verlag New York Inc.

Greutate

770

Dimensiuni

135 x 216 x 42

Descriere completă

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, Jordan algebras, 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.

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