Search results for "corank"

showing 1 items of 1 documents

Some criteria for detecting capable Lie algebras

2013

Abstract In virtue of a recent bound obtained in [P. Niroomand, F.G. Russo, A note on the Schur multiplier of a nilpotent Lie algebra, Comm. Algebra 39 (2011) 1293–1297], we classify all capable nilpotent Lie algebras of finite dimension possessing a derived subalgebra of dimension one. Indirectly, we find also a criterion for detecting noncapable Lie algebras. The final part contains a construction, which shows that there exist capable Lie algebras of arbitrary big corank (in the sense of Berkovich–Zhou).

Discrete mathematicsPure mathematicsAlgebra and Number TheoryHeisenberg algebraNon-associative algebranilpotent Lie algebrasKilling formAffine Lie algebraGraded Lie algebraLie conformal algebraNilpotent Lie algebraSettore MAT/02 - AlgebraAdjoint representation of a Lie algebraRepresentation of a Lie groupcorankHomology of Lie algebraMathematicsJournal of Algebra
researchProduct