|
|
libcats.org
Lie Groups: An Introduction Through Linear GroupsWulf RossmanThis book is an introduction to the theory of Lie groups and their representations at the advanced undergraduate or beginning graduate level. It covers the essentials of the subject starting from basic undergraduate mathematics. The correspondence between linear Lie groups and Lie algebras is developed in its local and global aspects. The classical groups are analyzed in detail, first with elementary matrix methods, then with the help of the structural tools typical of the theory of semisimple groups, such as Cartan subgroups, root, weights and reflections. The fundamental groups of the classical groups are worked out as an application of these methods. Manifolds are introduced when needed, in connection with homogeneous spaces, and the elements of differential and integral calculus on manifolds are presented, with special emphasis on integration on groups and homogeneous spaces. Representation theory starts from first principles, such as Schur's lemma and its consequences, and proceeds from there to the Peter-Weyl theorem, Weyl's character formula, and the Borel-Weil theorem, all in the context of linear groups.
Популярные книги за неделю:
Тестирование Дот Ком, или Пособие по жестокому обращению с багами в интернет-стартапахАвтор: Роман Савин
Размер книги: 5.26 Mb
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:
Appleton, Victor - Tom Swift Jr 21 - And the Asteroid PiratesАвтор: Appleton Victor
Размер книги: 203 Kb
Fundamentals of Discrete Element Methods for Rock Engineering: Theory and ApplicationsАвтор: Lanru Jing, Автор: Ove Stephansson
Размер книги: 19.84 Mb
Гражданское правоАвтор: Мозолин В.П., Автор: Масляев А.И., Автор: отв. ред.Категория: Нормативная литература
Размер книги: 3.70 Mb
Essential CG Lighting Techniques with 3ds MaxАвтор: Darren Brooker CG artist Cosgrove Hall Digital.
Размер книги: 15.43 Mb
Modern European Criticism and Theory: A Critical GuideАвтор: Julian Wolfreys
Размер книги: 23.98 Mb
|
|
|