ROUQUIER’S CONJECTURE AND DIAGRAMMATIC ALGEBRA
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Publication:4595742
DOI10.1017/fms.2017.17zbMath1427.20009arXiv1306.0074OpenAlexW2963774311WikidataQ123347037 ScholiaQ123347037MaRDI QIDQ4595742
Publication date: 6 December 2017
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1306.0074
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Categorical structures (18D99)
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Cites Work
- Proof of Varagnolo-Vasserot conjecture on cyclotomic categories \(\mathcal{O}\)
- Categorifications and cyclotomic rational double affine Hecke algebras.
- Highest weight \(\mathfrak{sl }_2\)-categorifications. I: Crystals
- Quiver Schur algebras and Koszul duality.
- Universal Verma modules and the Misra-Miwa Fock space
- Morita equivalences of Ariki-Koike algebras.
- Graded cellular bases for the cyclotomic Khovanov-Lauda-Rouquier algebras of type \(A\).
- Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
- Cyclotomic \(q\)-Schur algebras
- On the category \(\mathcal O\) for rational Cherednik algebras.
- Weighted Khovanov-Lauda-Rouquier algebras
- Heisenberg categorification and Hilbert schemes
- When is a cellular algebra quasi-hereditary?
- On category \(\mathcal O\) for cyclotomic rational Cherednik algebras.
- Koszul duality of affine Kac-Moody algebras and cyclotomic rational double affine Hecke algebras
- Parabolic induction and restriction functors for rational Cherednik algebras.
- On graded presentations of Hecke algebras and their generalizations
- On uniqueness of tensor products of irreducible categorifications
- On generalized category \(\mathcal O\) for a quiver variety
- Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.
- Cyclotomic double affine Hecke algebras and affine parabolic category \(\mathcal O\).
- Graded decomposition matrices of 𝑣-Schur algebras via Jantzen filtration
- A diagrammatic approach to categorification of quantum groups I
- The combinatorics of Harish-Chandra bimodules.
- Tensor Product Categorifications and the Super Kazhdan–Lusztig Conjecture
- Knot invariants and higher representation theory
- Kategorie O , Perverse Garben Und Moduln Uber Den Koinvariantez Zur Weylgruppe
- Koszul Duality Patterns in Representation Theory
- Crystals of Fock spaces and cyclotomic rational double affine Hecke algebras
- Three Combinatorial Models for $$ _ $$ Crystals, with Applications to Cylindric Plane Partitions
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