Centers and translation functors for the category \({\mathcal O}\) over Kac-Moody algebras
From MaRDI portal
Publication:1395394
DOI10.1007/s00209-002-0462-2zbMath1021.17007OpenAlexW2065847030MaRDI QIDQ1395394
Publication date: 1 July 2003
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00209-002-0462-2
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)
Related Items (20)
Affine category \(\mathcal{O}\), Koszul duality and Zuckerman functors ⋮ A categorification of \(\mathfrak q(2)\)-crystals ⋮ Graded decomposition matrices of 𝑣-Schur algebras via Jantzen filtration ⋮ Categorifications and cyclotomic rational double affine Hecke algebras. ⋮ Generalised Jantzen filtration of exceptional Lie superalgebras ⋮ Tensoring with infinite-dimensional modules in \(\mathcal {O}_0\) ⋮ A Weyl module stratification of integrable representations. With an appendix by Ryosuke Kodera ⋮ Tilting modules of affine quasi-hereditary algebras ⋮ Semi-Infinite Highest Weight Categories ⋮ Character, Multiplicity, and Decomposition Problems in the Representation Theory of Complex Lie Algebras ⋮ Tilting modules in category \(\mathcal O\) and sheaves on moment graphs ⋮ Centers for the restricted category \(\mathcal O\) at the critical level over affine Kac-Moody algebras ⋮ Sheaves on moment graphs and a localization of Verma flags ⋮ Localization of IC-complexes on Kashiwara's flag scheme and representations of Kac-Moody algebras ⋮ The linkage principle for restricted critical level representations of affine Kac–Moody algebras ⋮ Koszul duality of affine Kac-Moody algebras and cyclotomic rational double affine Hecke algebras ⋮ Localization algebras and deformations of Koszul algebras. ⋮ Quadratic duals, Koszul dual functors, and applications ⋮ Parabolic category O, perverse sheaves on Grassmannians, Springer fibres and Khovanov homology ⋮ On the restricted Verma modules at the critical level
This page was built for publication: Centers and translation functors for the category \({\mathcal O}\) over Kac-Moody algebras