1-dimensional representations and parabolic induction for \(W\)-algebras

DOI10.1016/j.aim.2010.12.021zbMath1287.17025arXiv0906.0157OpenAlexW2964248619MaRDI QIDQ633598

Ivan V. Losev

Publication date: 29 March 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.0157

zbMATH Keywords

deformation quantizationcategory \(\mathcal O\)Hamiltonian reductionparabolic induction1-dimensional representationsW-algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Deformation quantization, star products (53D55)

Related Items (18)

A Katsylo theorem for sheets of spherical conjugacy classes ⋮ Derived subalgebras of centralisers and finite -algebras ⋮ On the variety of 1-dimensional representations of finite \(W\)-algebras in low rank ⋮ Etingof's conjecture for quantized quiver varieties ⋮ Poisson traces and \(D\)-modules on Poisson varieties. With an appendix by Ivan Losev ⋮ Quantizations of Regular Functions on Nilpotent Orbits ⋮ Screening operators and parabolic inductions for affine \(\mathcal{W}\)-algebras ⋮ Isomorphisms of quantizations via quantization of resolutions ⋮ Representation theory of rectangular finite \(W\)-algebras ⋮ Modular representations of Lie algebras of reductive groups and Humphreys' conjecture ⋮ Infinitesimal Cherednik algebras as \(W\)-algebras ⋮ Multiplicity-free primitive ideals associated with rigid nilpotent orbits ⋮ Primitive ideals for \(W\)-algebras in type \(A\) ⋮ Harish-Chandra bimodules over quantized symplectic singularities ⋮ Goldie ranks of primitive ideals and indexes of equivariant Azumaya algebras ⋮ Mœglin’s theorem and Goldie rank polynomials in Cartan type A ⋮ Dimensions of irreducible modules over \(W\)-algebras and Goldie ranks ⋮ Classification of finite-dimensional irreducible modules over -algebras

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