Monomial representations of discrete type of an exponential solvable Liegroup -- Self-Chabauty-isolated locally compact groups -- Quantization of color Liebialgebras -- Harmonic analysis for 4-dimensional real Frobenius Liealgebras -- An example of holomorphically induced representations of exponential solvable Liegroups -- Spherical functions for small k-types -- A Cartan decomposition for non-symmetric reductive spherical pairs of rank-one type and its application to visible actions -- Lagrangian submanifolds of standard multisymplectic manifolds -- The Poisson characteristic variety of unitary irreducible representations of exponential Liegroups.
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"This book presents a number of important contributions focusing on harmonic analysis and representation theory of Lie groups. All were originally presented at the 5th Tunisian-Japanese conference "Geometric and Harmonic Analysis on Homogeneous Spaces and Applications," which was held at Mahdia in Tunisia from 17 to 21 December 2017 and was dedicated to the memory of the brilliant Tunisian mathematician Majdi Ben Halima. The peer-reviewed contributions selected for publication have been modified and are, without exception, of a standard equivalent to that in leading mathematical periodicals. Highlighting the close links between group representation theory and harmonic analysis on homogeneous spaces and numerous mathematical areas, such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations and mathematical physics, the book is intended for researchers and students working in the area of commutative and non-commutative harmonic analysis as well as group representations"--Publisher's description.
Geometric and harmonic analysis on homogeneous spaces.