Reductive lie groups/ Michael Greco ed.
Publication details: New York: NY Research Press, 2015Description: vii, 170 pages, 23.5 cmISBN:- 9781632383990
- 23rd 512.482 G786
Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
---|---|---|---|---|---|---|---|
Books | ISI Library, Kolkata | 512.482 G786 (Browse shelf(Opens below)) | Available | 138786 |
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512.482 F837 Probability on real Lie algebras / | 512.482 F849 Groups and manifolds: lectures for physicists with examples in mathematica/ | 512.482 G581 Introduction to the theory of Lie groups / | 512.482 G786 Reductive lie groups/ | 512.482 H882 Lie groups: structure, actions, and representations : | 512.482 H927 Representations of semisimple Lie algebras in the BGG category O | 512.482 Ia11 Lie algebras and applications |
Includes bibliography
Introduction -- Orbital integrals on reductive lie group -- Orbital integrals on reductive lie algebras -- Orbital integrals on Cuspidal forms -- Integrals functional and special functions on lie groups and lie algebras -- Integral transforms on lie groups and lie algebras -- Some examples of orbital integrals into representation theory on field theory and integral geometry -- Interwinning operators -- Gohomological induction and securing of generalized G-modules by G(w)- Orbits to infinite diensional representations of lie groups -- Some applications in the study of harmonic analysis -- Integral formulas on canonical p-Pairs -- Regularity on a lie algebra
This book presents an extensive analysis of reductive lie groups. The aim of this profound book is to provide a comprehensive course on the topics of global study and establish certain orbital applications of the integration on topological groups and their algebras to harmonic analysis and induced representations in representation theory.
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