Locally finite root systems
by Loos, Ottmar, Neher, Erhard
fromMemoirs of the American Mathematical Society
Locally finite root systems
by Loos, Ottmar, Neher, Erhard
fromMemoirs of the American Mathematical Society
Locally finite root systems
by Loos, Ottmar, Neher, Erhard
fromMemoirs of the American Mathematical Society
Locally finite root systems
by Loos, Ottmar, Neher, Erhard
fromMemoirs of the American Mathematical Society
Locally finite root systems
by Loos, Ottmar, Neher, Erhard
fromMemoirs of the American Mathematical Society
Introduction The category of sets in vector spaces Finiteness conditions and bases Locally finite root systems Invariant inner products and the coroot system Weyl groups Integral bases, root bases and Dynkin diagrams Weights and coweights Classification More on Weyl groups and a…
Cover -- Title page -- Contents -- Preface -- Acknowledgments -- Part 1. General theory -- Introduction and motivation -- Basic concepts -- Invariants of the coadjoint representation of a Lie algebra -- Part 2. Recognition of a Lie algebra given by its structure constants -- Ide…
The purpose of this book is to serve as a tool for researchers and practitioners who apply Lie algebras and Lie groups to solve problems arising in science and engineering. The authors address the problem of expressing a Lie algebra obtained in some arbitrary basis in a more sui…
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.
"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 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 gr…
