Representation Theory – Current Trends and Perspectives [electronic resource] /
Henning Krause, Peter Littelmann, Gunter Malle, Karl-Hermann Neeb, Christoph Schweigert
- Zuerich, Switzerland : European Mathematical Society Publishing House, 2017
- 1 online resource (773 pages)
- EMS Series of Congress Reports (ECR) .
Symmetric superspaces: slices, radial parts, and invariant functions / Geometry of quiver Grassmannians of Dynkin type with applications to cluster algebras / Spherical varieties and perspectives in representation theory / Categorical actions from Lusztig induction and restriction on finite general linear groups / Homological mirror symmetry for singularities / On the category of finite-dimensional representations of OSp$(r|2n)$: Part I / On cubes of Frobenius extensions / On toric degenerations of flag varieties / Subquotient categories of the affine category $\mathcal O$ at the critical level / Low-dimensional topology, low-dimensional field theory and representation theory / Derived categories of quasi-hereditary algebras and their derived composition series / Dominant dimension and applications / Highest weight categories and strict polynomial functors. With an appendix by Cosima Aquilino / In the bocs seat: Quasi-hereditary algebras and representation type / From groups to clusters / Semi-infinite combinatorics in representation theory / Local-global conjectures in the representation theory of finite groups / Bounded and semibounded representations of infinite dimensional Lie groups / On ideals in $\operatorname(\mathfrak (\infty)), \operatorname(\mathfrak (\infty)), \operatorname(\mathfrak (\infty))$ / Spherical varieties: applications and generalizations / Quiver moduli and small desingularizations of some GIT quotients / Geometric invariant theory for principal three-dimensional subgroups acting on flag varieties / Inductive conditions for counting conjectures via character triples / Restricted rational Cherednik algebras / On the existence of regular vectors / Alexander Alldridge -- Giovanni Cerulli Irelli -- Stéphanie Cupit-Foutou -- Olivier Dudas, Michela Varagnolo, Éric Vasserot -- Wolfgang Ebeling -- Michael Ehrig, Catharina Stroppel -- Ben Elias, Noah Snyder, Geordie Williamson -- Xin Fang, Ghislain Fourier, Peter Littelmann -- Peter Fiebig -- Jürgen Fuchs, Christoph Schweigert -- Martin Kalck -- Steffen Koenig -- Henning Krause -- Julian Külshammer -- Sefi Ladkani -- Martina Lanini -- Gunter Malle -- Karl-Hermann Neeb -- Ivan Penkov, Alexey Petukhov -- Guido Pezzini -- Markus Reineke -- Henrik Seppänen, Valdemar V. Tsanov -- Britta Späth -- Ulrich Thiel -- Christoph Zellner.
Restricted to subscribers: http://www.ems-ph.org/ebooks.php
From 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.
9783037196717
10.4171/171 doi
Algebraic geometry
Algebraic geometry
Associative rings and algebras
Nonassociative rings and algebras
Category theory; homological algebra
Symmetric superspaces: slices, radial parts, and invariant functions / Geometry of quiver Grassmannians of Dynkin type with applications to cluster algebras / Spherical varieties and perspectives in representation theory / Categorical actions from Lusztig induction and restriction on finite general linear groups / Homological mirror symmetry for singularities / On the category of finite-dimensional representations of OSp$(r|2n)$: Part I / On cubes of Frobenius extensions / On toric degenerations of flag varieties / Subquotient categories of the affine category $\mathcal O$ at the critical level / Low-dimensional topology, low-dimensional field theory and representation theory / Derived categories of quasi-hereditary algebras and their derived composition series / Dominant dimension and applications / Highest weight categories and strict polynomial functors. With an appendix by Cosima Aquilino / In the bocs seat: Quasi-hereditary algebras and representation type / From groups to clusters / Semi-infinite combinatorics in representation theory / Local-global conjectures in the representation theory of finite groups / Bounded and semibounded representations of infinite dimensional Lie groups / On ideals in $\operatorname(\mathfrak (\infty)), \operatorname(\mathfrak (\infty)), \operatorname(\mathfrak (\infty))$ / Spherical varieties: applications and generalizations / Quiver moduli and small desingularizations of some GIT quotients / Geometric invariant theory for principal three-dimensional subgroups acting on flag varieties / Inductive conditions for counting conjectures via character triples / Restricted rational Cherednik algebras / On the existence of regular vectors / Alexander Alldridge -- Giovanni Cerulli Irelli -- Stéphanie Cupit-Foutou -- Olivier Dudas, Michela Varagnolo, Éric Vasserot -- Wolfgang Ebeling -- Michael Ehrig, Catharina Stroppel -- Ben Elias, Noah Snyder, Geordie Williamson -- Xin Fang, Ghislain Fourier, Peter Littelmann -- Peter Fiebig -- Jürgen Fuchs, Christoph Schweigert -- Martin Kalck -- Steffen Koenig -- Henning Krause -- Julian Külshammer -- Sefi Ladkani -- Martina Lanini -- Gunter Malle -- Karl-Hermann Neeb -- Ivan Penkov, Alexey Petukhov -- Guido Pezzini -- Markus Reineke -- Henrik Seppänen, Valdemar V. Tsanov -- Britta Späth -- Ulrich Thiel -- Christoph Zellner.
Restricted to subscribers: http://www.ems-ph.org/ebooks.php
From 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.
9783037196717
10.4171/171 doi
Algebraic geometry
Algebraic geometry
Associative rings and algebras
Nonassociative rings and algebras
Category theory; homological algebra