Categorical actions on unipotent representations of finite classical groups

DOI10.1090/conm/683/13720zbMath1394.20008arXiv1603.00742OpenAlexW2290370485MaRDI QIDQ2979679

Olivier Dudas, Michela Varagnolo, Eric Vasserot

Publication date: 26 April 2017

Published in: Categorification and Higher Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00742

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (8)

Heisenberg algebra, wedges and crystals ⋮ Categorification and applications ⋮ Alvis-Curtis duality for finite general linear groups and a generalized Mullineux involution ⋮ Categorical actions on unipotent representations of finite classical groups ⋮ Categorical actions and crystals ⋮ Branching graphs for finite unitary groups in nondefining characteristic ⋮ Triple crystal action in Fock spaces ⋮ On the number of constituents of induced modules of Ariki-Koike algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Categorifications and cyclotomic rational double affine Hecke algebras.
• A note on perfect isometries between finite general linear and unitary groups at unitary primes
• Perfect bases for integrable modules over generalized Kac-Moody algebras
• Computational proof of the Mackey formula for \(q>2\).
• Representations of Hecke algebras at roots of unity.
• Generalized Jack polynomials and the representation theory of rational Cherednik algebras
• Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras
• Biadjointness in cyclotomic Khovanov-Lauda-Rouquier algebras
• On CRDAHA and finite general linear and unitary groups
• Brauer trees in classical groups
• On the decomposition numbers of the finite unitary groups in non-defining characteristic
• Induced cuspidal representations and generalised Hecke rings
• Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)
• Irreducible representations of finite classical groups
• The characters of the finite unitary groups
• Branching functions of \(A_{n-1}^{(1)}\) and Jantzen-Seitz problem for Ariki-Koike algebras
• On unipotent blocks and their ordinary characters
• Cuspidal unipotent Brauer characters
• Derived categories and Deligne-Lusztig varieties.
• Triple crystal action in Fock spaces
• The group ring of \(\text{GL}_ n(q)\) and the \(q\)-Schur algebra
• The blocks of finite general linear and unitary groups
• Rationality properties of unipotent representations.
• Towards a classification of the irreducible representations in non-describing characteristic of a finite group of Lie type
• Hecke algebras at roots of unity and crystal bases of quantum affine algebras
• On Rouquier blocks for finite classical groups at linear primes.
• Green vertex theory, Green correspondence, and Harish-Chandra induction
• Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.
• A combinatorial decomposition of higher level Fock spaces
• Quantum linear groups and representations of 𝐺𝐿_{𝑛}(𝐹_{𝑞})
• Quiver Hecke Algebras and 2-Lie Algebras
• Categorical actions on unipotent representations of finite classical groups
• Branching graphs for finite unitary groups in nondefining characteristic
• Decomposition numbers of finite classical groups for linear primes.
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Harish-Chandra Series in Finite Unitary Groups and Crystal Graphs
• The q ‐Schur Algebra
• On the Decomposition Numbers of the Finite General Linear Groups
• On the Decomposition Numbers of the Finite General Linear Groups. II
• Regular and Semisimple Blocks of Finite Reductive Groups
• Harish‐Chandra Series of Brauer Characters in a Finite Group with a Split BN ‐Pair
• Basic Sets of Brauer Characters of Finite Groups of Lie Type II
• Harish-Chandra Vertices and Steinberg's Tensor Product Theorems for Finite General Linear Groups
• Decomposition matrices for low-rank unitary groups
• Heisenberg algebras and rational double affine Hecke algebras
• Crystals of Fock spaces and cyclotomic rational double affine Hecke algebras

This page was built for publication: Categorical actions on unipotent representations of finite classical groups