The modular Weyl-Kac character formula
From MaRDI portal
Publication:2098215
DOI10.1007/s00209-022-03084-7zbMath1503.17010arXiv2004.13082OpenAlexW3021868741MaRDI QIDQ2098215
Amit Hazi, Emily Norton, Christopher Bowman
Publication date: 17 November 2022
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.13082
Modular representations and characters (20C20) Structure theory for Lie algebras and superalgebras (17B05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)
Related Items
Unitary representations of type B rational Cherednik algebras and crystal combinatorics ⋮ Character theory and categorification. Abstracts from the workshop held August 28 -- September 3, 2022 ⋮ Path isomorphisms between quiver Hecke and diagrammatic Bott-Samelson endomorphism algebras ⋮ UNITARY REPRESENTATIONS OF CYCLOTOMIC HECKE ALGEBRAS AT ROOTS OF UNITY: COMBINATORIAL CLASSIFICATION AND BGG RESOLUTIONS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Hodge theory of Soergel bimodules.
- Structure of the Verma module \(M(-\rho)\) over Euclidean Lie algebras
- Higher symmetries of the Laplacian
- Highest weight categories arising from Khovanov's diagram algebra. II: Koszulity
- Homogeneous representations of Khovanov-Lauda algebras.
- Graded cellular bases for the cyclotomic Khovanov-Lauda-Rouquier algebras of type \(A\).
- Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
- Sugawara operators and Kac-Kazhdan conjecture
- Structure of representations with highest weight of infinite-dimensional Lie algebras
- Lie algebra homology and the Macdonald-Kac formulas
- A generalization of the Bernstein-Gelfand-Gelfand resolution
- The representation theory of the symmetric groups
- The blob algebra and the periodic Temperley-Lieb algebra
- The submodule structure of Specht modules.
- Billiards and tilting characters for \(\mathrm{SL}_3\)
- \(\text{Ext}^ 1\) for Weyl modules of \(\text{SL}_ 2(K)\)
- On BGG resolutions of unitary modules for quiver Hecke and Cherednik algebras
- Path combinatorics and light leaves for quiver Hecke algebras
- Jucys-Murphy elements for Soergel bimodules
- Representation theory of \(\mathcal{W}\)-algebras
- A physical approach to the classification of indecomposable Virasoro representations from the blob algebra
- Jack polynomials as fractional quantum Hall states and the Betti numbers of the \((k+1)\)-equals ideal
- Highest weight categories arising from Khovanov’s diagram algebra III: category 𝒪
- The p-canonical basis for Hecke algebras
- A new proof of the Kac-Kazhdan conjecture
- On homomorphisms between Weyl modules and Specht modules
- AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS
- Tilting modules and the p-canonical basis
- Koszul duality for Kac–Moody groups and characters of tilting modules
- Introduction to Soergel Bimodules
- Schubert calculus and torsion explosion
- Soergel calculus
