The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on "Representation Theory of Lie Groups" from July 2002 to January 2003. As part of the program, tutorials for graduate students and junior researchers were given by leading experts in the field. This invaluable volume collects the expanded lecture notes of those tutorials. The topics covered include uncertainty principles for locally compact abelian groups, fundamentals of representations of p-adic groups, the Harish-Chandra-Howe local character expansion, classification of the square-integrable representations modulo cuspidal data, Dirac cohomology and Vogan's conjecture, multiplicity-free actions and Schur-Weyl-Howe duality.
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First Sentence:
The purpose of this article is to direct reader's attention to some recent developments concerning three Uncertainty Principles: the classical Heisenberg-Weyl Uncertainty Principle, The Hirschman-Beckner Uncertainty Principle based on the notion of the entropy, and the Donoho-Stark Uncertainty Principle. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
irreducible square integrable representations, multiplicity free actions, irreducible tempered representations, local character expansion, cuspidal lines, cuspidal support, unitarizability problem, irreducible smooth representations, unique irreducible subrepresentation, cuspidal data, nilpotent orbital integrals, irreducible cuspidal representation, polynomial coefficient differential operators, multiplicity free decomposition, fundamental highest weights, cuspidal representations, parabolic induction, highest weight theory, spherical pairs, duality correspondence, centralizer algebra, infinitesimal character, irreducible subquotient, standard parabolic subgroups, admissible triples Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Lecture Notes, Duke Math, Compositio Math, Princeton University Press, Theorem of the Highest Weight, American Mathematical Society, Academic Press, Allen Moy, Annals of Math, National University of Singapore, Pure Math, Reid Huntsinger, Roger Howe, Lie Group Representations, Rhone Island, Second Fundamental Theorem, Springer Verlag, University of Maryland New!
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The purpose of this article is to direct reader's attention to some recent developments concerning three Uncertainty Principles: the classical Heisenberg-Weyl Uncertainty Principle, The Hirschman-Beckner Uncertainty Principle based on the notion of the entropy, and the Donoho-Stark Uncertainty Principle. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
irreducible square integrable representations, multiplicity free actions, irreducible tempered representations, local character expansion, cuspidal lines, cuspidal support, unitarizability problem, irreducible smooth representations, unique irreducible subrepresentation, cuspidal data, nilpotent orbital integrals, irreducible cuspidal representation, polynomial coefficient differential operators, multiplicity free decomposition, fundamental highest weights, cuspidal representations, parabolic induction, highest weight theory, spherical pairs, duality correspondence, centralizer algebra, infinitesimal character, irreducible subquotient, standard parabolic subgroups, admissible triples Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Lecture Notes, Duke Math, Compositio Math, Princeton University Press, Theorem of the Highest Weight, American Mathematical Society, Academic Press, Allen Moy, Annals of Math, National University of Singapore, Pure Math, Reid Huntsinger, Roger Howe, Lie Group Representations, Rhone Island, Second Fundamental Theorem, Springer Verlag, University of Maryland New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 10
books:
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- The Mathematical Theory of Communication by Claude E Shannon on page 18
- Abstract Harmonic Analysis: Volume 2: Structure and Analysis for Compact Groups. Analysis on Locally Compact Abelian Groups (Grundlehren der mathematischen Wissenschaften) (v. 2) by Edwin Hewitt on page 18
- Lectures on Representation Theory by Jing-Song Huang in Back Matter
- Analysis on Symmetric Cones (Oxford Mathematical Monographs) by Jacques Faraut in Back Matter
- Differential Operators and Highest Weight Representations (Memoirs of the American Mathematical Society) by Mark G. Davidson in Back Matter
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