The action of a compact Lie group on nilpotent Lie algebras of type {{n,2}}
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Giovanni Falcone
Abstract
We classify finite-dimensional real nilpotent Lie algebras with 2-dimensional central commutator ideals admitting a Lie group of automorphisms isomorphic to
Funding statement: This research was supported by the Università di Palermo (2012-ATE-0446) and by the European Union’s Seventh Framework Programme (FP7/2007–2013) under grant agreements no. 317721 and no. 318202.
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Articles in the same Issue
- Frontmatter
- Residues of standard intertwining operators on p-adic classical groups
- Anomalies on codimension growth of algebras
- Brackets with (τ,σ)-derivations and (p,q)-deformations of Witt and Virasoro algebras
- Bounded gaps between primes with a given primitive root, II
- Minimal potential results for the Schrödinger equation in a slab
- The classification of p-nilpotent restricted Lie algebras of dimension at most 4
- Global gradient estimates for nonlinear obstacle problems with nonstandard growth
- Existence of the Bedrosian identity for Fourier multiplier operators
- Projective bundles over small covers and the bundle triviality problem
- Gromov (non-)hyperbolicity of certain domains in ℂN
- The action of a compact Lie group on nilpotent Lie algebras of type {{n,2}}
- Restricted enveloping algebras whose skew and symmetric elements are Lie metabelian
Articles in the same Issue
- Frontmatter
- Residues of standard intertwining operators on p-adic classical groups
- Anomalies on codimension growth of algebras
- Brackets with (τ,σ)-derivations and (p,q)-deformations of Witt and Virasoro algebras
- Bounded gaps between primes with a given primitive root, II
- Minimal potential results for the Schrödinger equation in a slab
- The classification of p-nilpotent restricted Lie algebras of dimension at most 4
- Global gradient estimates for nonlinear obstacle problems with nonstandard growth
- Existence of the Bedrosian identity for Fourier multiplier operators
- Projective bundles over small covers and the bundle triviality problem
- Gromov (non-)hyperbolicity of certain domains in ℂN
- The action of a compact Lie group on nilpotent Lie algebras of type {{n,2}}
- Restricted enveloping algebras whose skew and symmetric elements are Lie metabelian
