Check nearby libraries
Buy this book
Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title Lie Theory, feature survey work and original results by well-established researchers in key areas of semisimple Lie theory. A wide spectrum of topics is treated, with emphasis on the interplay between representation theory and the geometry of adjoint orbits for Lie algebras over fields of possibly finite characteristic, as well as for infinite-dimensional Lie algebras. Also covered is unitary representation theory and branching laws for reductive subgroups, an active part of modern representation theory. Finally, there is a thorough discussion of compactifications of symmetric spaces, and harmonic analysis through a far-reaching generalization of Harish--Chandra's Plancherel formula for semisimple Lie groups. Ideal for graduate students and researchers, Lie Theory provides a broad, clearly focused examination of semisimple Lie groups and their integral importance to research in many branches of mathematics. Lie Theory: Lie Algebras and Representations contains J. C. Jantzen's "Nilpotent Orbits in Representation Theory," and K.-H. Neeb's "Infinite Dimensional Groups and their Representations." Both are comprehensive treatments of the relevant geometry of orbits in Lie algebras, or their duals, and the correspondence to representations.
Check nearby libraries
Buy this book
Edition | Availability |
---|---|
1
Lie Theory: Lie Algebras and Representations
Oct 21, 2012, Birkhäuser
paperback
1461264839 9781461264835
|
aaaa
Libraries near you:
WorldCat
|
Book Details
Edition Notes
Source title: Lie Theory: Lie Algebras and Representations (Progress in Mathematics)
Classifications
The Physical Object
ID Numbers
Community Reviews (0)
Feedback?September 28, 2024 | Edited by MARC Bot | import existing book |
July 28, 2020 | Created by ImportBot | import new book |