The isomorphism problem for universal enveloping algebras of solvable Lie algebras

DOI10.1016/j.jalgebra.2022.01.035OpenAlexW4213292751WikidataQ115350281 ScholiaQ115350281MaRDI QIDQ2134030

José L. Vilca Rodríguez, Csaba Schneider, Hamid Usefi

Publication date: 5 May 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.06915

zbMATH Keywords

universal enveloping algebrassolvable Lie algebrasLie algebrasgroup ringsisomorphism problemmetabelian Lie algebrasPBW theoremFrobenius semiradical

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Solvable, nilpotent (super)algebras (17B30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The isomorphism problem for universal enveloping algebras of nilpotent Lie algebras
• Isomorphism theorem on low dimensional Lie algebras
• Rigidity of \(p\)-adic \(p\)-torsion
• Enveloping algebras of simple three-dimensional Lie algebras
• On commutative polarizations.
• The Frobenius semiradical of a Lie algebra.
• An introduction to group rings
• The isomorphism problem for universal enveloping algebras of Lie algebras
• Isomorphism invariants of enveloping algebras
• Classification of Solvable Lie Algebras
• Schur’s theorems on commutative matrices
• Isomorphisms of p-adic group rings
• A counterexample to the isomorphism problem for integral group rings

This page was built for publication: The isomorphism problem for universal enveloping algebras of solvable Lie algebras