Multiplicity-free primitive ideals associated with rigid nilpotent orbits

DOI10.1007/s00031-014-9266-9zbMath1353.17009arXiv1310.3346OpenAlexW2593366757MaRDI QIDQ2249230

Alexander Premet

Publication date: 10 July 2014

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.3346

zbMATH Keywords

component group\(W\)-algebramultiplicity-free primitive idealrigid nilpotent orbit

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (14)

Derived subalgebras of centralisers and finite -algebras ⋮ On the variety of 1-dimensional representations of finite \(W\)-algebras in low rank ⋮ Quantizations of Regular Functions on Nilpotent Orbits ⋮ Sheets and associated varieties of affine vertex algebras ⋮ One dimensional representations of finite \(W\)-algebras, Dirac reduction and the orbit method ⋮ Universal filtered quantizations of nilpotent Slodowy slices ⋮ Minimal \(W\)-superalgebras and the modular representations of basic Lie superalgebras ⋮ Modular representations of Lie algebras of reductive groups and Humphreys' conjecture ⋮ A Morita theorem for modular finite \(W\)-algebras ⋮ Equivariant deformation quantization and coadjoint orbit method ⋮ Minimal-dimensional representations of reduced enveloping algebras for ⋮ Deformations of symplectic singularities and orbit method for semisimple Lie algebras ⋮ Unipotent ideals for spin and exceptional groups ⋮ Dimensions of irreducible modules over \(W\)-algebras and Goldie ranks

Uses Software

• PyCox

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 1-dimensional representations and parabolic induction for \(W\)-algebras
• Finite-dimensional representations of \(W\)-algebras
• Enveloping algebras of Slodowy slices and Goldie rank
• Commutative quotients of finite \(W\)-algebras
• Unipotent representations of complex semisimple groups
• Completely prime ideals of the enveloping algebra of \(\mathfrak{gl}_ n({\mathbb{C}})\)).
• Primitive ideals and nilpotent orbits in type \(G_ 2\)
• Primitive ideals and orbital integrals in complex classical groups
• Representations of Coxeter groups and Hecke algebras
• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple
• Left cells in the Weyl group of type \(E_8\)
• Special transverse slices and their enveloping algebras
• Finite dimensional irreducible representations of finite \(W\)-algebras associated to even multiplicity nilpotent orbits in classical Lie algebras
• On the derived algebra of a centraliser
• Enveloping algebras of Slodowy slices and the Joseph ideal
• Derived subalgebras of centralisers and finite -algebras
• Centres of centralizers of unipotent elements in simple algebraic groups
• On 1-dimensional representations of finite W-algebras associated to simple Lie algebras of exceptional type
• Highest Weight Theory for Finite W-Algebras
• Harish-Chandra bimodules for quantized Slodowy slices
• Quantized symplectic actions and 𝑊-algebras
• Gelfand-Kirillov Dimension for the Annihilators of Simple Quotients of Verma Modules
• Représentations unitaires irréductibles des groupes simples complexes de rang deux
• Modular representations of simple Lie algebras
• Left cells in the weyl group of type₇
• Completely prime maximal ideals and quantization
• PyCox: computing with (finite) Coxeter groups and Iwahori–Hecke algebras

This page was built for publication: Multiplicity-free primitive ideals associated with rigid nilpotent orbits