LEADER 05299nam 22005415a 450 001 9910155396903321 005 20161205234500.0 010 $a3-03719-671-8 024 70$a10.4171/171 035 $a(CKB)3710000000974734 035 $a(CH-001817-3)216-161205 035 $a(PPN)197871852 035 $a(EXLCZ)993710000000974734 100 $a20161205j20170112 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aRepresentation Theory - Current Trends and Perspectives$b[electronic resource] /$fHenning Krause, Peter Littelmann, Gunter Malle, Karl-Hermann Neeb, Christoph Schweigert 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2017 215 $a1 online resource (773 pages) 225 0 $aEMS Series of Congress Reports (ECR) ;$x2523-515X 311 $a3-03719-171-6 327 $tSymmetric superspaces: slices, radial parts, and invariant functions /$rAlexander Alldridge --$tGeometry of quiver Grassmannians of Dynkin type with applications to cluster algebras /$rGiovanni Cerulli Irelli --$tSpherical varieties and perspectives in representation theory /$rSte?phanie Cupit-Foutou --$tCategorical actions from Lusztig induction and restriction on finite general linear groups /$rOlivier Dudas, Michela Varagnolo, E?ric Vasserot --$tHomological mirror symmetry for singularities /$rWolfgang Ebeling --$tOn the category of finite-dimensional representations of OSp$(r|2n)$: Part I /$rMichael Ehrig, Catharina Stroppel --$tOn cubes of Frobenius extensions /$rBen Elias, Noah Snyder, Geordie Williamson --$tOn toric degenerations of flag varieties /$rXin Fang, Ghislain Fourier, Peter Littelmann --$tSubquotient categories of the affine category $\mathcal O$ at the critical level /$rPeter Fiebig --$tLow-dimensional topology, low-dimensional field theory and representation theory /$rJu?rgen Fuchs, Christoph Schweigert --$tDerived categories of quasi-hereditary algebras and their derived composition series /$rMartin Kalck --$tDominant dimension and applications /$rSteffen Koenig --$tHighest weight categories and strict polynomial functors. With an appendix by Cosima Aquilino /$rHenning Krause --$tIn the bocs seat: Quasi-hereditary algebras and representation type /$rJulian Ku?lshammer --$tFrom groups to clusters /$rSefi Ladkani --$tSemi-infinite combinatorics in representation theory /$rMartina Lanini --$tLocal-global conjectures in the representation theory of finite groups /$rGunter Malle --$tBounded and semibounded representations of infinite dimensional Lie groups /$rKarl-Hermann Neeb --$tOn ideals in $\operatorname{U}(\mathfrak {sl} (\infty)), \operatorname{U}(\mathfrak {o} (\infty)), \operatorname{U}(\mathfrak {sp} (\infty))$ /$rIvan Penkov, Alexey Petukhov --$tSpherical varieties: applications and generalizations /$rGuido Pezzini --$tQuiver moduli and small desingularizations of some GIT quotients /$rMarkus Reineke --$tGeometric invariant theory for principal three-dimensional subgroups acting on flag varieties /$rHenrik Seppa?nen, Valdemar V. Tsanov --$tInductive conditions for counting conjectures via character triples /$rBritta Spa?th --$tRestricted rational Cherednik algebras /$rUlrich Thiel --$tOn the existence of regular vectors /$rChristoph Zellner. 330 $aFrom April 2009 until March 2016, the German Science Foundation supported generously the Priority Program SPP 1388 in Representation Theory. The core principles of the projects realized in the framework of the priority program have been categorification and geometrization, this is also reflected by the contributions to this volume. Apart from the articles by former postdocs supported by the priority program, the volume contains a number of invited research and survey articles, many of them are extended versions of talks given at the last joint meeting of the priority program in Bad Honnef in March 2015. This volume is covering current research topics from the representation theory of finite groups, of algebraic groups, of Lie superalgebras, of finite dimensional algebras and of infinite dimensional Lie groups. Graduate students and researchers in mathematics interested in representation theory will find this volume inspiring. It contains many stimulating contributions to the development of this broad and extremely diverse subject. 606 $aAlgebraic geometry$2bicssc 606 $aAlgebraic geometry$2msc 606 $aAssociative rings and algebras$2msc 606 $aNonassociative rings and algebras$2msc 606 $aCategory theory; homological algebra$2msc 615 07$aAlgebraic geometry 615 07$aAlgebraic geometry 615 07$aAssociative rings and algebras 615 07$aNonassociative rings and algebras 615 07$aCategory theory; homological algebra 676 $a512/.2 686 $a14-xx$a16-xx$a17-xx$a18-xx$2msc 702 $aKrause$b Henning 702 $aLittelmann$b Peter 702 $aMalle$b Gunter 702 $aNeeb$b Karl-Hermann 702 $aSchweigert$b Christoph 801 0$bch0018173 906 $aBOOK 912 $a9910155396903321 996 $aRepresentation Theory - Current Trends and Perspectives$92565673 997 $aUNINA