Representation Theory – Current Trends and Perspectives


Book details

Symmetric superspaces: slices, radial parts, and invariant functions
Alexander Alldridge
pp. 1–11
Abstract | Full-Text PDF (332 KB)

Geometry of quiver Grassmannians of Dynkin type with applications to cluster algebras
Giovanni Cerulli Irelli
pp. 13–45
Abstract | Full-Text PDF (515 KB)

Spherical varieties and perspectives in representation theory
Stéphanie Cupit-Foutou
pp. 47–57
Abstract | Full-Text PDF (305 KB)

Categorical actions from Lusztig induction and restriction on finite general linear groups
Olivier Dudas, Michela Varagnolo and Éric Vasserot
pp. 59–74
Abstract | Full-Text PDF (436 KB)

Homological mirror symmetry for singularities
Wolfgang Ebeling
pp. 75–107
Abstract | Full-Text PDF (472 KB)

On the category of finite-dimensional representations of OSp$(r|2n)$: Part I
Michael Ehrig and Catharina Stroppel
pp. 109–170
Abstract | Full-Text PDF (741 KB)

On cubes of Frobenius extensions
Ben Elias, Noah Snyder and Geordie Williamson
pp. 171–186
Abstract | Full-Text PDF (171 KB)

On toric degenerations of flag varieties
Xin Fang, Ghislain Fourier and Peter Littelmann
pp. 187–232
Abstract | Full-Text PDF (628 KB)

Subquotient categories of the affine category $\mathcal O$ at the critical level
Peter Fiebig
pp. 233–253
Abstract | Full-Text PDF (429 KB)

Low-dimensional topology, low-dimensional field theory and representation theory
Jürgen Fuchs and Christoph Schweigert
pp. 255–267
Abstract | Full-Text PDF (348 KB)

Derived categories of quasi-hereditary algebras and their derived composition series
Martin Kalck
pp. 269–308
Abstract | Full-Text PDF (589 KB)

Dominant dimension and applications
Steffen Koenig
pp. 309–330
Abstract | Full-Text PDF (362 KB)

Highest weight categories and strict polynomial functors. With an appendix by Cosima Aquilino
Henning Krause
pp. 331–373
Abstract | Full-Text PDF (591 KB)

In the bocs seat: Quasi-hereditary algebras and representation type
Julian Külshammer
pp. 375–426
Abstract | Full-Text PDF (600 KB)

From groups to clusters
Sefi Ladkani
pp. 427–500
Abstract | Full-Text PDF (635 KB)

Semi-infinite combinatorics in representation theory
Martina Lanini
pp. 501–518
Abstract | Full-Text PDF (445 KB)

Local-global conjectures in the representation theory of finite groups
Gunter Malle
pp. 519–539
Abstract | Full-Text PDF (402 KB)

Bounded and semibounded representations of infinite dimensional Lie groups
Karl-Hermann Neeb
pp. 541–563
Abstract | Full-Text PDF (508 KB)

On ideals in $\operatorname{U}(\mathfrak {sl} (\infty)), \operatorname{U}(\mathfrak {o} (\infty)), \operatorname{U}(\mathfrak {sp} (\infty))$
Ivan Penkov and Alexey Petukhov
pp. 565–602
Abstract | Full-Text PDF (513 KB)

Spherical varieties: applications and generalizations
Guido Pezzini
pp. 603–612
Abstract | Full-Text PDF (303 KB)

Quiver moduli and small desingularizations of some GIT quotients
Markus Reineke
pp. 613–635
Abstract | Full-Text PDF (331 KB)

Geometric invariant theory for principal three-dimensional subgroups acting on flag varieties
Henrik Seppänen and Valdemar V. Tsanov
pp. 637–663
Abstract | Full-Text PDF (464 KB)

Inductive conditions for counting conjectures via character triples
Britta Späth
pp. 665–680
Abstract | Full-Text PDF (337 KB)

Restricted rational Cherednik algebras
Ulrich Thiel
pp. 681–745
Abstract | Full-Text PDF (1017 KB)

On the existence of regular vectors
Christoph Zellner
pp. 747–763
Abstract | Full-Text PDF (424 KB)

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