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Positivity in Lie Theory Open Problems

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ISBN-10: 3110161125

ISBN-13: 9783110161120

Edition: 1998

Authors: Joachim Hilgert, Jimmie D. Lawson, Karl-Hermann Neeb, Ernest B. Vinberg

List price: $293.00
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Sets out a series of problems to demonstrate to newcomers to Lie theory how notions of positivity in it occur in quite diverse settings, vary widely both in nature and application, and are approached from quite divergent mathematical viewpoints. Each of the 15 chapters (one in French) addresses a specific problem or a circle of problems at a level apprehendable by a graduate student with a sound knowledge of basic Lie theory. The emphasis is on smaller problems that might serve as guidelines to the main problems. Among the topics are exponential functions, invariant cones in real representations, total positivity, discrete series and analyticity, harmonic analysis on causal symmetric…    
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Book details

List price: $293.00
Copyright year: 1998
Publisher: Walter de Gruyter GmbH
Publication date: 5/25/1998
Binding: Hardcover
Pages: 302
Size: 7.25" wide x 10.00" long x 1.00" tall
Weight: 1.430
Language: English

Jordan algebras and conformal geometry
Asymptotic problems - from control systems to semigroups
Exponential function of Lie groups
Quelques problemes d'analyse sur les espaces symetriques ordonnes
Tube domains in Stein symmetric spaces
Invariant cones in real representations
Universal objects in Lie semigroup theory
Introduction to total positivity
An introduction to the embedding problem for probabilities on locally compact groups
Compression semigroups in semisimple Lie groups: a direct approach
Discrete series and analyticity
Some open problems in representation theory related to complex geometry
Boundary values of holomorphic functions and some spectral problems for unitary repesentations
Open problems in harmonic analysis on causal symmetric spaces
Linear algebraic monoids
List of contributors