Constructions of Lie Algebras and Their Modules

ISBN-13: 9783540189732 / Angielski / Miękka / 1988 / 196 str.

George B. Seligman

Opis

Deals with central simple Lie algebras over arbitrary fields of characteristic zero. This book aims to give constructions of the algebras and their finite-dimensional modules in terms that are rational with respect to the given ground field. It is suitable for students of algebraic Lie theory.

Spis treści

An introductory example: sl(n,D).- General considerations.- Involutorial algebras and modules for their skew elements.- Construction of modules with prescribed relative highest weights, for the isotropic algebras of chapter 3.- Construction of exceptional algebras from quadratic forms.- Representations of exceptional algebras constructed from quadratic forms.- Non-reduced excepticnal algebras with a one-dimensional root space.- Construction of modules for the super-exceptional algebras of rank one.- Complements.