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Lie Groups: Structure, Actions, and Representations

In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday

Alan Huckleberry, Ivan Penkov, Gregg Zuckerman (Herausgeber)

Buch | Hardcover

413 Seiten

2013
Birkhauser Boston Inc (Verlag)
978-1-4614-7192-9 (ISBN)

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Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A. More precisely, finite groups and classical finite dimensional, as well as infinite-dimensional Lie groups, and algebras play a role.

Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday consists of invited expository and research articles on new developments arising from Wolf's profound contributions to mathematics. Due to Professor Wolf’s broad interests, outstanding mathematicians and scholars in a wide spectrum of mathematical fields contributed to the volume. Algebraic, geometric, and analytic methods are employed. More precisely, finite groups and classical finite dimensional, as well as infinite-dimensional Lie groups, and algebras play a role. Actions on classical symmetric spaces, and on abstract homogeneous and representation spaces are discussed. Contributions in the area of representation theory involve numerous viewpoints, including that of algebraic groups and various analytic aspects of harmonic analysis.

Contributors

D. Akhiezer                         T. Oshima

A. Andrada                         I. Pacharoni

M. L. Barberis                    F. Ricci

L. Barchini                            S. Rosenberg

I. Dotti                                  N. Shimeno

M. Eastwood                     J.Tirao

V. Fischer                            S. Treneer

T. Kobayashi                       C.T.C. Wall

A. Korányi                           D. Wallace

B. Kostant                           K. Wiboonton

P. Kostelec                          F. Xu

K.-H. Neeb                          O. Yakimova

G. Olafsson                         R. Zierau

B. Ørsted

Preface.- Real group orbits on flag manifolds.- Complex connections with trivial holonomy.- Indefinite harmonic theory and harmonic spinors.- Twistor theory and the harmonic hull.- Nilpotent Gelfand pairs and spherical transforms of Schwartz functions, II: Taylor expansions on singular sets.- Propagation of the multiplicity-freeness property for holomorphic vector bundles.- Poisson transforms for line bundles from the Shilov boundary to bounded symmetric domains.- Cent(U(n)), cascade of orthogonal roots, and a construction of Lipsman–Wolf.- Weakly harmonic Maaß forms and the principal series for SL(2,R).- Holomorphic realization of unitary representations of Banach-Lie groups.- The Segal–Bargmann transform on compact symmetric spaces and their direct limits.- Analysis on flag manifolds and Sobolev inequalities.- Boundary value problems on Riemannian symmetric spaces of noncompact type.- One step spherical functions of the pair (SU(n + 1), U(n)).- Chern–Weil theory for certain infinite-dimensional Lie groups.- On the structure of finite groups with periodic cohomology.

Erscheint lt. Verlag	3.8.2013
Reihe/Serie	Progress in Mathematics ; 306
Zusatzinfo	XIV, 413 p.
Verlagsort	Secaucus
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	differentiable manifold • Hilbert's problems • Lie Theory • Lorentz Group • Representation Theory
ISBN-10	1-4614-7192-3 / 1461471923
ISBN-13	978-1-4614-7192-9 / 9781461471929
Zustand	Neuware