Representation Theory – Current Trends and Perspectives

Henning Krause; Peter Littelmann; Gunter Malle; Karl-Hermann Neeb; Christoph Schweigert

doi:10.4171/171

BooksecrCollected Volume

Representation Theory – Current Trends and Perspectives

Editors

Henning Krause
Universität Bielefeld, Germany
Peter Littelmann
Universität Köln, Germany
Gunter Malle
Universität Kaiserslautern, Germany
Karl-Hermann Neeb
FAU Erlangen-Nürnberg, Germany
Christoph Schweigert
Universität Hamburg, Germany

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pp. 1–11
Symmetric superspaces: slices, radial parts, and invariant functions
Alexander Alldridge
pp. 13–45
Geometry of quiver Grassmannians of Dynkin type with applications to cluster algebras
Giovanni Cerulli Irelli
pp. 47–57
Spherical varieties and perspectives in representation theory
Stéphanie Cupit-Foutou
pp. 59–74
Categorical actions from Lusztig induction and restriction on finite general linear groups
Olivier DudasMichela VaragnoloÉric Vasserot
pp. 75–107
Homological mirror symmetry for singularities
Wolfgang Ebeling
pp. 109–170
On the category of finite-dimensional representations of OSp $(r ∣2 n)$ : Part I
Michael EhrigCatharina Stroppel
pp. 171–186
On cubes of Frobenius extensions
Ben EliasNoah SnyderGeordie Williamson
pp. 187–232
On toric degenerations of flag varieties
Xin FangGhislain FourierPeter Littelmann
pp. 233–253
Subquotient categories of the affine category $O$ at the critical level
Peter Fiebig
pp. 255–267
Low-dimensional topology, low-dimensional field theory and representation theory
Jürgen FuchsChristoph Schweigert
pp. 269–308
Derived categories of quasi-hereditary algebras and their derived composition series
Martin Kalck
pp. 309–330
Dominant dimension and applications
Steffen Koenig
pp. 331–373
Highest weight categories and strict polynomial functors. With an appendix by Cosima Aquilino
Henning Krause
pp. 375–426
In the bocs seat: Quasi-hereditary algebras and representation type
Julian Külshammer
pp. 427–500
From groups to clusters
Sefi Ladkani
pp. 501–518
Semi-infinite combinatorics in representation theory
Martina Lanini
pp. 519–539
Local-global conjectures in the representation theory of finite groups
Gunter Malle
pp. 541–563
Bounded and semibounded representations of infinite dimensional Lie groups
Karl-Hermann Neeb
pp. 565–602
On ideals in $U (sl (\infty)), U (o (\infty)), U (sp (\infty))$
Ivan PenkovAlexey Petukhov
pp. 603–612
Spherical varieties: applications and generalizations
Guido Pezzini
pp. 613–635
Quiver moduli and small desingularizations of some GIT quotients
Markus Reineke
pp. 637–663
Geometric invariant theory for principal three-dimensional subgroups acting on flag varieties
Henrik SeppänenValdemar V. Tsanov
pp. 665–680
Inductive conditions for counting conjectures via character triples
Britta Späth
pp. 681–745
Restricted rational Cherednik algebras
Ulrich Thiel
pp. 747–763
On the existence of regular vectors
Christoph Zellner