This book is aimed at presenting different methods and perspectives in the theory of Quantum Groups, bridging between the algebraic, representation theoretic, analytic, and differential-geometric approaches. It also covers recent developments in Noncommutative Geometry, which have close relations to
Representations of Nilpotent Lie Groups and their Applications: Part 1, Basic Theory and Examples
โ Scribed by Laurence J. Corwin, Frederick P. Greenleaf
- Publisher
- Cambridge University Press
- Year
- 1990
- Tongue
- English
- Leaves
- 275
- Series
- Cambridge Studies in Advanced Mathematics 18
- Category
- Library
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
<span>There has been no exposition of group representations and harmonic analysis suitable for graduate students for over twenty years. In this, the first of two projected volumes, the authors remedy the situation by surveying all the basic theory developed since the pioneering work of Kirillov in 1
The theory of unitary group representations began with finite groups, and blossomed in the twentieth century both as a natural abstraction of classical harmonic analysis, and as a tool for understanding various physical phenomena. Combining basic theory and new results, this monograph is a fresh and
This monograph answers the need for a unified account of the basic theory of unitary group representations, combined with new results, in a style that is broadly accessible for both graduate students and researchers.
<p><span>This book is a sequel to the book by the same authors entitled </span><span>Theory of Groups and Symmetries: Finite Groups, Lie Groups, and Lie Algebras</span><span>.</span></p><p><span>The presentation begins with the Dirac notation, which is illustrated by boson and fermion oscillator alg