Heisenberg and Kac-Moody categorification
From MaRDI portal
Publication:2218150
DOI10.1007/s00029-020-00602-5zbMath1489.17020arXiv1907.11988OpenAlexW3096377049MaRDI QIDQ2218150
Jonathan Brundan, Alistair Savage, Ben Webster
Publication date: 14 January 2021
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.11988
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) 2-categories, bicategories, double categories (18N10)
Related Items (9)
A new approach to the representation theory of the partition category ⋮ Categorification of the elliptic Hall algebra ⋮ Foundations of Frobenius Heisenberg categories ⋮ Character theory and categorification. Abstracts from the workshop held August 28 -- September 3, 2022 ⋮ Representations of cyclotomic oriented Brauer categories ⋮ Semi-Infinite Highest Weight Categories ⋮ Semisimplification of the category of tilting modules for \(\mathrm{GL}_n\) ⋮ On modular Harish-Chandra series of finite unitary groups ⋮ Representations of weakly triangular categories
Cites Work
- Unnamed Item
- Unnamed Item
- A basis theorem for the affine oriented Brauer category and its cyclotomic quotients
- Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras
- Highest weight categories arising from Khovanov's diagram algebra. II: Koszulity
- Brundan-Kazhdan-Lusztig and super duality conjectures
- Graded decomposition numbers for cyclotomic Hecke algebras.
- Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
- Perfect crystals of quantum affine Lie algebras
- On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
- On the category \(\mathcal O\) for rational Cherednik algebras.
- Categorical actions and multiplicities in the Deligne category \(\underline{Rep}(G L_t)\)
- Degenerate cyclotomic Hecke algebras and higher level Heisenberg categorification
- Weighted Khovanov-Lauda-Rouquier algebras
- On the definition of Heisenberg category
- Hecke algebras, finite general linear groups, and Heisenberg categorification.
- On the definition of quantum Heisenberg category
- Monoidal categories and topological field theory
- A categorification of quantum \(\text{sl}(n)\)
- Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.
- Derived equivalences and \(\mathfrak{sl}_2\)-categorifications for \(U_q(\mathfrak{gl}_n)\)
- On the definition of Kac-Moody 2-category
- Quiver Hecke Algebras and 2-Lie Algebras
- Categorical actions and crystals
- A diagrammatic approach to categorification of quantum groups II
- An equivalence between truncations of categorified quantum groups and Heisenberg categories
- Tilting modules and the p-canonical basis
- Tensor Product Categorifications and the Super Kazhdan–Lusztig Conjecture
- Knot invariants and higher representation theory
- Canonical bases and higher representation theory
- A Basis Theorem for the Degenerate Affine Oriented Brauer–Clifford Supercategory
- Tensor Categories
- Representations of the General Linear Lie Superalgebra in the BGG Category $$\mathcal{O}$$
- Crystals of Fock spaces and cyclotomic rational double affine Hecke algebras
- Heisenberg algebra and a graphical calculus
- Representations of shifted Yangians and finite 𝑊-algebras
- Cyclicity for categorified quantum groups
This page was built for publication: Heisenberg and Kac-Moody categorification
