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Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
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Steinberg Groups for Jordan Pairs (Hardcover, 1st ed. 2019)
Loot Price: R3,825
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Steinberg Groups for Jordan Pairs (Hardcover, 1st ed. 2019)
Series: Progress in Mathematics, 332
Expected to ship within 12 - 17 working days
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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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