On the structure of the category O for W-algebras

zbMath1356.17010arXiv0812.1584MaRDI QIDQ4981655

Ivan V. Losev

Publication date: 24 June 2014

Full work available at URL: https://arxiv.org/abs/0812.1584

zbMATH Keywords

nilpotent elementsmultiplicitiesgeneralized Whittaker modules

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) Simple, semisimple, reductive (super)algebras (17B20) Categorical structures (18D99)

Related Items

Semi-infinite cohomology and the linkage principle for \(\mathcal{W}\)-algebras, Localization for affine \(\mathcal{W} \)-algebras, Singular blocks of parabolic category \(\mathcal O\) and finite \(W\)-algebras, Representation theory of rectangular finite \(W\)-algebras, Goldie ranks of primitive ideals and indexes of equivariant Azumaya algebras