Two-sided BGG resolutions of admissible representations
From MaRDI portal
Publication:2922914
DOI10.1090/S1088-4165-2014-00454-0zbMath1367.17019arXiv1207.4276MaRDI QIDQ2922914
Publication date: 15 October 2014
Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1207.4276
admissible representationparabolic subalgebraaffine Kac-Moody algebraBGG resolutionBorel-Weil theorem
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)
Related Items
Weight representations of admissible affine vertex algebras ⋮ Screening operators and parabolic inductions for affine \(\mathcal{W}\)-algebras ⋮ Equivariant \(K\)-theory of semi-infinite flag manifolds and the Pieri-Chevalley formula ⋮ Realizations of simple affine vertex algebras and their modules: the cases \({\widehat{sl(2)}}\) and \({\widehat{osp(1,2)}}\) ⋮ Rationality of \(W\)-algebras: principal nilpotent cases ⋮ Rationality of admissible affine vertex algebras in the category \(\mathcal O\) ⋮ Quantum Langlands duality of representations of -algebras ⋮ \(W\)-algebras as coset vertex algebras ⋮ Tableau models for semi-infinite Bruhat order and level-zero representations of quantum affine algebras ⋮ Urod algebras and Translation of W-algebras ⋮ Higher rank partial and false theta functions and representation theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rationality of \(W\)-algebras: principal nilpotent cases
- Affine Kac-Moody algebras and semi-infinite flag manifolds
- Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture
- The combinatorics of category \({\mathcal O}\) over symmetrizable Kac-Moody algebras
- Fock representations and BRST cohomology in \(\mathrm{SL}(2)\) current algebra
- On rationality of \(W\)-algebras
- Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
- Fock space representations of the Virasoro algebra. Intertwining operators
- Hecke algebras and Jantzen's generic decomposition patterns
- Projective modules over graded Lie algebras. I
- Lie algebra cohomology and \(N=2\) SCFT based on the GKO construction
- Characters and fusion rules for \(W\)-algebras via quantized Drinfeld- Sokolov reduction
- Lie algebra homology and the Macdonald-Kac formulas
- Semi-infinite homological algebra
- Quantum reduction for affine superalgebras
- Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebras. III: Positive rational case.
- Vertex operator algebras associated to modular invariant representations for \(A_ 1^{(1)}\)
- Annihilating ideals and tilting functors
- Representation theory of \(\mathcal{W}\)-algebras
- Lie algebra cohomology and the generalized Borel-Weil theorem
- Wakimoto modules, opers and the center at the critical level
- Associated Varieties of Modules Over Kac-Moody Algebras and C2-Cofiniteness of W-Algebras
- Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
- A family of representations of affine Lie algebras
- Character formulas for tilting modules over Kac-Moody algebras
- Semi-infinite induction and Wakimoto modules
- Twisting functors on 𝒪
- Vanishing of cohomology associated to quantized Drinfeld-Sokolov reduction
- Rationality of admissible affine vertex algebras in the category \(\mathcal O\)
