A Brylinski filtration for affine Kac-Moody algebras
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Publication:655367
DOI10.1016/J.AIM.2011.10.014zbMath1283.17018arXiv1012.2095OpenAlexW2062655097MaRDI QIDQ655367
Publication date: 4 January 2012
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1012.2095
representation theoryaffine Kac-Moody algebraKostka-Foulkes polynomialsBrylinski filtrationcohomology vanishing
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Cohomology of Lie (super)algebras (17B56)
Related Items (5)
The \(t\)-analog of string functions for \(A_1^{(1)}\) and Hecke indefinite modular forms ⋮ The \(t\)-analog of the basic string function for twisted affine Kac-Moody algebras ⋮ Twisted strong Macdonald theorems and adjoint orbits ⋮ The Brylinski filtration for affine Kac-Moody algebras and representations of \(\mathscr{W}\)-algebras ⋮ The \(t\)-analog of the level one string function for twisted affine Kac-Moody algebras
Cites Work
- Infinite dimensional Lie algebras. An introduction
- Pursuing the double affine Grassmannian. I: Transversal slices via instantons on \(A_k\)-singularities
- Spherical functions and a \(q\)-analogue of Kostant's weight multiplicity formula
- Line bundles on the cotangent bundle of the flag variety
- Sheaves on a loop group and Langlands duality
- Kac-Moody groups, their flag varieties and representation theory
- Lie algebra cohomology and the fusion rules
- The strong Macdonald conjecture and Hodge theory on the loop Grassmannian
- Geometric Langlands duality and representations of algebraic groups over commutative rings
- Kostka-Foulkes polynomials for symmetrizable Kac-Moody algebras
- Limits of Weight Spaces, Lusztig's q-Analogs, and Fiberings of Adjoint Orbits
- Characters and the q -Analog of Weight Multiplicity
- On the Brylinski-Kostant filtration
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