Centralizers in partially commutative Lie algebras

DOI10.1007/s10469-012-9196-3zbMath1286.17005OpenAlexW1996872018WikidataQ115384457 ScholiaQ115384457MaRDI QIDQ1936283

Evgeniĭ Nikolaevich Poroshenko

Publication date: 21 February 2013

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-012-9196-3

zbMATH Keywords

centralizerpartially commutative Lie algebra

Mathematics Subject Classification ID

Applications of graph theory (05C90) Identities, free Lie (super)algebras (17B01)

Related Items (6)

Universal equivalence of some countably generated partially commutative structures ⋮ Universal equivalence of partially commutative Lie algebras ⋮ Universal equivalence of partially commutative metabelian Lie algebras ⋮ Partially commutative groups and Lie algebras ⋮ On universal equivalence of partially commutative Lie algebras defined by graphs without triangles and squares and with no isolated vertices ⋮ On Universal Equivalence of Partially Commutative Metabelian Lie Algebras

Cites Work

• Partially commutative metabelian groups: centralizers and elementary equivalence.
• Universal equivalence of partially commutative metabelian groups.
• Bases for partially commutative Lie algebras
• A Mal'tsev basis for a partially commutative nilpotent metabelian group.
• Gröbner-Shirshov bases for Lie algebras: after A. I. Shirshov
• Graph algebras
• The lower central series of the free partially commutative group
• Automorphisms of graph groups.
• Free partially commutative structures
• Parabolic and quasiparabolic subgroups of free partially commutative groups.
• Centralizers in free Poisson algebras
• Centralizers in Free Associative Algebras
• Free differential calculus. IV: The quotient groups of the lower central series
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