|
|
libcats.org
Constructions of Lie Algebras and their ModulesGeorge B. SeligmanThis book deals with central simple Lie algebras over arbitrary fields of characteristic zero. It aims to give constructions of the algebras and their finite-dimensional modules in terms that are rational with respect to the given ground field. All isotropic algebras with non-reduced relative root systems are treated, along with classical anisotropic algebras. The latter are treated by what seems to be a novel device, namely by studying certain modules for isotropic classical algebras in which they are embedded. In this development, symmetric powers of central simple associative algebras, along with generalized even Clifford algebras of involutorial algebras, play central roles. Considerable attention is given to exceptional algebras. The pace is that of a rather expansive research monograph. The reader who has at hand a standard introductory text on Lie algebras, such as Jacobson or Humphreys, should be in a position to understand the results. More technical matters arise in some of the detailed arguments. The book is intended for researchers and students of algebraic Lie theory, as well as for other researchers who are seeking explicit realizations of algebras or modules. It will probably be more useful as a resource to be dipped into, than as a text to be worked straight through.
Популярные книги за неделю:
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Только что пользователи скачали эти книги:
М.Н.Малова, В.М.Лирцман "Предоперационная подготовка и послеоперационное лечение...Автор:
Размер книги: 218 Kb
Writing Riches: Learn How to Boost Profits, Drive Sales and Master Your Financial Destiny With Results-Based Web CopyАвтор: Ray Edwards
Размер книги: 376 Kb
Visual Guide to XanthАвтор: Piers Anthony, Автор: Jody Lynn Nye, Автор: Todd Cameron Hamilton, Автор: James Clouse
Размер книги: 6.03 Mb
80 Years of Zentralblatt MATH: 80 Footprints of Distinguished Mathematicians in Zentralblatt (English, German and French Edition)Автор: Olaf Teschke, Автор: Bernd Wegner, Автор: Dirk Werner
Размер книги: 14.30 Mb
British Forces in North America 1793-1815Автор: Rene Chartrand, Автор: Gerry EmbletonКатегория: История, Военная история
Размер книги: 6.75 Mb
|
|
|