04563nam 2200529Ia 450 991043814590332120200520144314.01-4614-7193-110.1007/978-1-4614-7193-6(OCoLC)857142320(MiFhGG)GVRL6YEX(CKB)2670000000530465(MiAaPQ)EBC1398417(EXLCZ)99267000000053046520130820d2013 uy 0engurun|---uuuuatxtccrLie groups structure, actions, and representations in honor of Joseph A. Wolf on the occasion of his 75th birthday /Alan Huckleberry, Ivan Penkov, Gregg Zuckerman, editors1st ed. 2013.New York Birkhauser / Springer20131 online resource (xiv, 413 pages) illustrations (some color)Progress in Mathematics,0743-1643 ;306Description based upon print version of record.1-4614-7192-3 1-4899-9057-7 Includes bibliographical references.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.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.Progress in mathematics (Boston, Mass.) ;v. 306.Lie groupsLie algebrasLie groups.Lie algebras.512.482Huckleberry Alan41922Penkov Ivan1738636Zuckerman Gregg1762383MiAaPQMiAaPQMiAaPQBOOK9910438145903321Lie groups4202260UNINA