LEADER 04563nam 2200529Ia 450 001 9910438145903321 005 20200520144314.0 010 $a1-4614-7193-1 024 7 $a10.1007/978-1-4614-7193-6 035 $a(OCoLC)857142320 035 $a(MiFhGG)GVRL6YEX 035 $a(CKB)2670000000530465 035 $a(MiAaPQ)EBC1398417 035 $a(EXLCZ)992670000000530465 100 $a20130820d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 00$aLie groups $estructure, actions, and representations in honor of Joseph A. Wolf on the occasion of his 75th birthday /$fAlan Huckleberry, Ivan Penkov, Gregg Zuckerman, editors 205 $a1st ed. 2013. 210 $aNew York $cBirkhauser / Springer$d2013 215 $a1 online resource (xiv, 413 pages) $cillustrations (some color) 225 1 $aProgress in Mathematics,$x0743-1643 ;$v306 300 $aDescription based upon print version of record. 311 $a1-4614-7192-3 311 $a1-4899-9057-7 320 $aIncludes bibliographical references. 327 $aPreface -- 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. 330 $aLie Groups: Structures, Actions, and Representations, In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday consists of invited expository and research articles on new developments arising from Wolf's profound contributions to mathematics. Due to Professor Wolf?s broad interests, outstanding mathematicians and scholars in a wide spectrum of mathematical fields contributed to the volume.  Algebraic, geometric, and analytic methods are employed. More precisely, finite groups and classical finite dimensional, as well as infinite-dimensional Lie groups, and algebras play a role. Actions on classical symmetric spaces, and on abstract homogeneous and representation spaces are discussed. Contributions in the area of representation theory involve numerous viewpoints, including that of algebraic groups and various analytic aspects of harmonic analysis.   Contributors   D. Akhiezer                         T. Oshima A. Andrada                         I. Pacharoni M. L. Barberis                    F. Ricci L. Barchini                            S. Rosenberg I. Dotti                                  N. Shimeno M. Eastwood                     J. Tirao V. Fischer                            S. Treneer T. Kobayashi                       C.T.C. Wall A. Korányi                           D. Wallace B. Kostant                           K. Wiboonton P. Kostelec                          F. Xu K.-H. Neeb                          O. Yakimova G. Olafsson                         R. Zierau B. Ørsted. 410 0$aProgress in mathematics (Boston, Mass.) ;$vv. 306. 606 $aLie groups 606 $aLie algebras 615 0$aLie groups. 615 0$aLie algebras. 676 $a512.482 701 $aHuckleberry$b Alan$041922 701 $aPenkov$b Ivan$01738636 701 $aZuckerman$b Gregg$01762383 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438145903321 996 $aLie groups$94202260 997 $aUNINA