Finite-dimensional representations of \(W\)-algebras

From MaRDI portal
Publication:635476

DOI10.1215/00127094-1384800zbMath1235.17007arXiv0807.1023OpenAlexW3103676436MaRDI QIDQ635476

Ivan V. Losev

Publication date: 19 August 2011

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.1023




Related Items

Representations of principal \(W\)-algebra for the superalgebra \(Q(n)\) and the super Yangian \textit{YQ}(1)On Kostant's theorem for the Lie superalgebra \(Q(n)\)Finite-dimensional representations of minimal nilpotent W-algebras and zigzag algebrasDerived subalgebras of centralisers and finite -algebrasOn the variety of 1-dimensional representations of finite \(W\)-algebras in low rankCategorical cell decomposition of quantized symplectic algebraic varietiesEtingof's conjecture for quantized quiver varietiesQuantizations of Regular Functions on Nilpotent OrbitsScreening operators and parabolic inductions for affine \(\mathcal{W}\)-algebrasOne dimensional representations of finite \(W\)-algebras, Dirac reduction and the orbit methodFinite dimensional irreducible representations of finite \(W\)-algebras associated to even multiplicity nilpotent orbits in classical Lie algebrasCompletions of symplectic reflection algebras.On changing highest weight theories for finite \(W\)-algebrasHarish-Chandra bimodules for type A rational Cherednik algebrasOn categories for quantized symplectic resolutionsOn finite-dimensional representations of finite \(W\)-superalgebrasRationality and fusion rules of exceptional \(\mathcal{W}\)-algebrasUnipotent representations and microlocalizationWhittaker categories and the minimal nilpotent finite \(W\)-algebras for \(\mathfrak{sl}_{n+1}\)Character \(D\)-modules via Drinfeld center of Harish-Chandra bimodules.Isomorphisms of quantizations via quantization of resolutionsSingular blocks of parabolic category \(\mathcal O\) and finite \(W\)-algebrasRees algebra over an ideal in \(\mathfrak{t}\)-ringsRepresentation theory of rectangular finite \(W\)-algebrasRationality of \(W\)-algebras: principal nilpotent casesModular representations of Lie algebras of reductive groups and Humphreys' conjectureBernstein inequality and holonomic modulesInfinitesimal Cherednik algebras as \(W\)-algebrasMultiplicity-free primitive ideals associated with rigid nilpotent orbitsPrimitive ideals for \(W\)-algebras in type \(A\)Quantized symplectic actions and 𝑊-algebrasTwisted traces and positive forms on quantized Kleinian singularities of type AEquivariant deformation quantization and coadjoint orbit methodHarish-Chandra bimodules over quantized symplectic singularitiesSuper formal Darboux-Weinstein theorem and finite \(W\)-superalgebrasGoldie ranks of primitive ideals and indexes of equivariant Azumaya algebrasDeformations of symplectic singularities and orbit method for semisimple Lie algebrasMœglin’s theorem and Goldie rank polynomials in Cartan type ARepresentations of rational Cherednik algebras with minimal support and torus knots.W-algebras and Duflo isomorphismDimensions of irreducible modules over \(W\)-algebras and Goldie ranksClassification of finite-dimensional irreducible modules over -algebras



Cites Work