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Viser: Steinberg Groups for Jordan Pairs
Steinberg Groups for Jordan Pairs Vital Source e-bog
Ottmar Loos og Erhard Neher
(2020)
Steinberg Groups for Jordan Pairs
Ottmar Loos og Erhard Neher
(2020)
Sprog: Engelsk
Detaljer om varen
- Vital Source searchable e-book (Fixed pages)
- Udgiver: Springer Nature (Januar 2020)
- Forfattere: Ottmar Loos og Erhard Neher
- ISBN: 9781071602645
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Detaljer om varen
- Hardback
- Udgiver: Springer New York (Januar 2020)
- Forfattere: Ottmar Loos og Erhard Neher
- ISBN: 9781071602621
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.