MULTIPLIERS FOR A DERIVED LIE ALGEBRA, A MATRIX EXAMPLE

Authors : Louis A Levy

Pages : 69-77

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Publication Date : 2011-06-01

Article Type : Research Paper

Abstract :Using some common assumptions, we extend the study of the Lie algebra multiplier for the strictly upper triangular matrices to the multiplier of its derived algebra. Even though the algebras are very similar, many new elements and cases appear in the derived algebra that do not exist in the original.
Keywords : Multiplier, Lie algebra multiplier, Schur multiplier