ELEMENTARY INVARIANTS FOR CENTRALIZERS OF NILPOTENT MATRICES

DOI10.1017/S1446788708000608zbMath1207.17025arXivmath/0611024OpenAlexW3103002858MaRDI QIDQ3624620

Jonathan Brundan, Jonathan S. Brown

Publication date: 30 April 2009

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611024

zbMATH Keywords

centralizersnilpotent matricessymmetric invariants

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Solvable, nilpotent (super)algebras (17B30)

Related Items

On symmetric invariants of centralisers in reductive Lie algebras ⋮ The Gelfand-Kirillov conjecture and Gelfand-Tsetlin modules for finite \(W\)-algebras ⋮ Invariants of centralisers in positive characteristic ⋮ Finite dimensional irreducible representations of finite \(W\)-algebras associated to even multiplicity nilpotent orbits in classical Lie algebras ⋮ Polynomiality of invariants, unimodularity and adapted pairs ⋮ The symmetric invariants of centralizers and Slodowy grading ⋮ Center at the critical level for centralizers in type \(A\) ⋮ Representation theory of rectangular finite \(W\)-algebras ⋮ Casimir elements and Sugawara operators for Takiff algebras ⋮ Nilpotent matrices having a given Jordan type as maximum commuting nilpotent orbit ⋮ Commutative quotients of finite \(W\)-algebras ⋮ A quantum Mirković-Vybornov isomorphism ⋮ Compatible adapted pairs and a common slice theorem for some centralizers ⋮ Classical \(\mathcal{W}\)-algebras for centralizers ⋮ Restricted shifted Yangians and restricted finite 𝑊-algebras

Cites Work

• Shifted Yangians and finite \(W\)-algebras
• On symmetric invariants of centralisers in reductive Lie algebras
• Parabolic presentations of the Yangian \(Y(\mathfrak{gl}_n)\)
• Yangians and classical Lie algebras

This page was built for publication: ELEMENTARY INVARIANTS FOR CENTRALIZERS OF NILPOTENT MATRICES