Schur Multipliers of Nilpotent Lie Algebras (1103.1812v1)

Published 9 Mar 2011 in math.RA

Abstract: We consider the Schur multipliers of finite dimensional nilpotent Lie algebras. If the algebra has dimension greater than one, then the Schur multiplier is non-zero. We give a direct proof of an upper bound for the dimension of the Schur multiplier as a function of class and the minimum number of generators of the algebra. We then compare this bound with another known bound.

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