LEADER 05967nam 22007695 450 001 9910299970603321 005 20200701162320.0 010 $a3-319-09934-5 024 7 $a10.1007/978-3-319-09934-7 035 $a(CKB)3710000000281172 035 $a(EBL)1968029 035 $a(OCoLC)895254770 035 $a(SSID)ssj0001386439 035 $a(PQKBManifestationID)11767098 035 $a(PQKBTitleCode)TC0001386439 035 $a(PQKBWorkID)11374346 035 $a(PQKB)11682922 035 $a(MiAaPQ)EBC1968029 035 $a(DE-He213)978-3-319-09934-7 035 $a(PPN)183095251 035 $a(EXLCZ)993710000000281172 100 $a20141112d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDevelopments and Retrospectives in Lie Theory $eGeometric and Analytic Methods /$fedited by Geoffrey Mason, Ivan Penkov, Joseph A. Wolf 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (274 p.) 225 1 $aDevelopments in Mathematics,$x1389-2177 ;$v37 300 $aDescription based upon print version of record. 311 $a3-319-09933-7 320 $aIncludes bibliographical references at the end of each chapters. 327 $aGroup gradings on Lie algebras and applications to geometry. II (Y. Bahturin, M. Goze, E. Remm) -- Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry (P. Bieliavsky, V. Gayral, A. de Goursac, F. Spinnler) -- The radon transform and its dual for limits of symmetric spaces (J. Hilgert, G. Ólafsson) -- Cycle Connectivity and Automorphism Groups of Flag Domains (A. Huckleberry) -- Shintani functions, real spherical manifolds, and symmetry breaking operators (T. Kobayashi) -- Harmonic spinors on reductive homogeneous spaces (S. Mehdi, R. Zierau) -- Twisted Harish?Chandra sheaves and Whittaker modules: The nondegenerate case (D. Mili?i?, W. Soergel) -- Unitary representations of unitary groups (K.-H. Neeb) -- Weak splitting of quotients of Drinfeld and Heisenberg doubles (M. Yakimov). 330 $aThis volume reviews and updates a prominent series of workshops in representation/Lie theory, and reflects the widespread influence of those  workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, and mathematical physics.  Many of the contributors have had leading roles in both the classical and modern developments of Lie theory and its applications. This Work, entitled Developments and Retrospectives in Lie Theory, and comprising 26 articles, is organized in two volumes: Algebraic Methods and Geometric and Analytic Methods. This is the Geometric and Analytic Methods volume. The Lie Theory Workshop series, founded by Joe Wolf and Ivan Penkov and joined shortly thereafter by Geoff Mason, has been running for over two decades. Travel to the workshops has usually been supported by the NSF, and local universities have provided hospitality. The workshop talks have been seminal in describing new perspectives in the field covering broad areas of current research.  Most of the workshops have taken place at leading public and private universities in California, though on occasion workshops have taken place in Oregon, Louisiana and Utah.  Experts in representation theory/Lie theory from various parts of  the Americas, Europe and Asia have given talks at these meetings. The workshop series is robust, and the meetings continue on a quarterly basis.  Contributors to the Geometric and Analytic Methods volume: Y. Bahturin                                         D. Mili?i? P. Bieliavsky                                       K.-H. Neeb V. Gayral                                            G. Ólafsson A. de Goursac                                     E. Remm M. Goze                                             W. Soergel J. Hilgert                                             F. Spinnler A. Huckleberry                                    M. Yakimov T. Kobayashi                                       R. Zierau S. Mehdi  . 410 0$aDevelopments in Mathematics,$x1389-2177 ;$v37 606 $aTopological groups 606 $aLie groups 606 $aAlgebraic geometry 606 $aNumber theory 606 $aMathematical physics 606 $aTopological Groups, Lie Groups$3https://scigraph.springernature.com/ontologies/product-market-codes/M11132 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 615 0$aTopological groups. 615 0$aLie groups. 615 0$aAlgebraic geometry. 615 0$aNumber theory. 615 0$aMathematical physics. 615 14$aTopological Groups, Lie Groups. 615 24$aAlgebraic Geometry. 615 24$aNumber Theory. 615 24$aMathematical Physics. 676 $a512.55 702 $aMason$b Geoffrey$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aPenkov$b Ivan$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aWolf$b Joseph A$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299970603321 996 $aDevelopments and retrospectives in Lie theory$91409894 997 $aUNINA