Schur Multipliers of Nilpotent Lie Algebras

Details Schur Multipliers of Nilpotent Lie Algebras Schur Multipliers of Nilpotent Lie Algebras

2011-03-09

arxiv.org/abs/1103.1812v1

Mathematics

Rings and Algebras

4 pages

Scientific paper

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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