The Brylinski filtration for affine Kac-Moody algebras and representations of \(\mathscr{W}\)-algebras

DOI10.1007/s10468-021-10101-6OpenAlexW3207878577MaRDI QIDQ2699448

Sankaran Viswanath, Suresh Govindarajan, Sachin S. Sharma

Publication date: 26 April 2023

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.13353

zbMATH Keywords

affine Kac-Moody algebrasBrylinski filtration\(\mathscr{W}\)-algebraslevel 1 vacuum moduleprincipal Heisenberg algebra

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Brylinski filtration for affine Kac-Moody algebras
• Pursuing the double affine Grassmannian. I: Transversal slices via instantons on \(A_k\)-singularities
• Realization of the basic representations of the Euclidean Lie algebras
• Basic representations of affine Lie algebras and dual resonance models
• Spherical functions and a \(q\)-analogue of Kostant's weight multiplicity formula
• Characters and fusion rules for \(W\)-algebras via quantized Drinfeld- Sokolov reduction
• Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
• Line bundles on the cotangent bundle of the flag variety
• Nonabelian orbifolds and the boson-fermion correspondence
• Twist-field representations of W-algebras, exact conformal blocks and character identities
• \({\mathcal W}_{1+\infty}\) and \({\mathcal W}(gl_ N)\) with central charge \(N\)
• Representation theory of \(\mathcal{W}\)-algebras
• Kostka-Foulkes polynomials for symmetrizable Kac-Moody algebras
• TWISTED MODULES OVER LATTICE VERTEX ALGEBRAS
• Limits of Weight Spaces, Lusztig's q-Analogs, and Fiberings of Adjoint Orbits
• Calculus of twisted vertex operators
• Characters and the q -Analog of Weight Multiplicity
• On the Brylinski-Kostant filtration
• Modular invariance of characters of vertex operator algebras
• On axiomatic approaches to vertex operator algebras and modules
• -constraints for the total descendant potential of a simple singularity

This page was built for publication: The Brylinski filtration for affine Kac-Moody algebras and representations of \(\mathscr{W}\)-algebras