The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)
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Comprises 51 articles, each of which is an introduction to a set of open research problems in Lie theory. The unifying theme is "positivity", and topics range from geometric and algebraic structure theory though harmonic analysis, representation theory as far as control theory, and probability.
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Jordan algebras and conformal geometry, W. Bertram; asymptotic problems - from control systems to semigroups, F. Colonius et al; exponential function of Lie groups, D.Z. Dokovic, K.H. Hofmann; quelques problemes d'analyse sur les espaces symetriques ordonnes, J. Faraut; tube domains in Stein symmetric spaces, S. Gindikin; invariant cones in real representations, J. Hilgert, K.H. Neeb; universal objects in Lie semigroup theory, J.D. Lawson; an introduction to total positivity, G. Lusztig; an introduction to the embedding problem for probabilities on locally compact groups, M. McCrudden; compression semigroups in semisimple Lie groups - a direct approach, D. Mittenhuber; discrete series and analyticity, V.F. Molchanov; some open problems in representation theory related to complex geometry, K.H. Neeb; boundary values of holomorphic functions and some spectral problems for unitary representations, Y.A. Neretin; open problems in harmonic analysis on causal symmetric spaces, G. Olafsson; linear algebraic monoids, L. Renner, M. Putcha.
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Produktdetaljer

ISBN
9783110161120
Publisert
1998-05-25
Utgiver
Vendor
De Gruyter
Vekt
658 gr
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
302