Capability and Schur multiplier of a pair of Lie algebras

DOI10.1016/j.geomphys.2016.11.016zbMath1380.17012OpenAlexW2560221195MaRDI QIDQ512091

Peyman Niroomand, Mohsen Parvizi, Farangis Johari

Publication date: 23 February 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2016.11.016

zbMATH Keywords

tensor productSchur multiplierexterior productcapable Lie algebracapable pair of Lie algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30)

Related Items (13)

The structure, capability and the Schur multiplier of generalized Heisenberg Lie algebras ⋮ Characterizing nilpotent Lie algebras that satisfy the converse to the Schur theorem ⋮ c-Nilpotent multiplier and c-capability of the direct sum of Lie algebras ⋮ Bounds for the dimension of the Schur multiplier of finite dimensional nilpotent Lie algebras ⋮ Frattinian nilpotent Lie algebras ⋮ Capable Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field ⋮ Nilpotent Lie algebras of class 4 with the derived subalgebra of dimension 3 ⋮ Certain functors of nilpotent Lie algebras with the derived subalgebra of dimension two ⋮ On characterizing pairs of nilpotent Lie algebras by their second relative homologies ⋮ Some results on the Schur multipliers of nilpotent Lie algebra ⋮ c-capability of Lie algebras with the derived subalgebra of dimension two ⋮ On the triple tensor product of nilpotent Lie algebras ⋮ On characterizing nilpotent Lie algebra by their multiplier, \(s(L)=6, 7\)

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