Steinberg groups for Jordan pairs

by Loos, Ottmar

Type Book

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Title Statements

Full title :Steinberg groups for Jordan pairs / Ottmar Loos, Erhard Neher.

Summary

"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"--Publisher's description

Edition Statements

Publication Date:©2019

Publication Statements

Publisher(s):Birkhäuser
Place of Publication:New York, NY
Language:eng
Publication Date:©2019

The Physical Object

Description:1 online resource (xii, 458 pages) : : illustrations

Edition Identifiers

ISBN:9781071602645, 1071602640
DOI:10.1007/978-1-0716-0264-5
oclc:on1136962949
LC Classification:QA252
Dewey Decimal:512/.482

Groups with commutator relations -- Groups associated with Jordan pairs -- Steinberg groups for Peirce graded Jordan pairs -- Jordan graphs -- Steinberg groups for root graded Jordan pairs -- Central closedness.

Subjects

Algèbres de Jordan Electronic books Jordan algebras K-théorie K-theory Lie superalgebras Root systems (Algebra) Superalgèbres de Lie Systèmes de racines (Algèbre)