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arXiv · 1103.1812

Schur Multipliers of Nilpotent Lie Algebras

Lindsey R. Bosko·Ernie L. Stitzinger
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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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Lindsey R. Bosko, Ernie L. Stitzinger. 2011-03-09. Schur Multipliers of Nilpotent Lie Algebras. https://arxiv.org/abs/1103.1812

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