* Focuses on two fundamental questions related to semisimple Lie groups: the geometry of Riemannian symmetric spaces and their compactifications, and branching laws for unitary representations * Wide applications of compactification techniques * Concrete examples and relevant exercises engage the reader * Knowledge of basic representation theory of Lie groups, semisimple Lie groups and symmetric spaces is required
H/ is a finite linear combination of exponentials eih ;Hi; where each D Á C satisfies jj2 D j C j 2 : From this point, ... H/; then must be in the convex hull of the W -orbit of Cı and must differ from C ı by an element ...
To compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of Lie theory and its history.
This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations.
From my viewpoint, the volume is perfectly fit to serve as such a source... This is a hand- rather than a textbook. ..
This is followed by discussions of Weil algebras, Chern--Weil theory, the quantum Weil algebra, and the cubic Dirac operator.
This volume provides a comprehensive treatment of basic Lie theory, primarily directed toward graduate study. The text is ideal for a full graduate course in Lie groups and Lie algebras.
“Uber den Einfluss der Schwerkraft auf die Ausbreitung des Lichtes,” Annalen der Physik 35 (1911), 898–908. A partial translation is ... Engel, F., 1900, “Ein neues, dem linearen Komplexe analoges Gebilde,” Berichte über d. Verh. d.
This volume provides a comprehensive treatment of basic Lie theory, primarily directed toward graduate study. The text is ideal for a full graduate course in Lie groups and Lie algebras.
From my viewpoint, the volume is perfectly fit to serve as such a source... This is a hand- rather than a textbook. ..
The standard text on the subject for many years, this introductory treatment covers classical linear groups, topological groups, manifolds, analytic groups, differential calculus of Cartan, and compact Lie groups and their representations. ...