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I don't know if it's legitimate to call this the algebraic bracket. It might be best to move this over to Nijenhuis-Richardson bracket and do the redirect the other way round. At least then someone who has a different algebraic bracket in mind can more readily insert their definition and disambiguate from algebraic bracket. Silly rabbit 15:45, 9 June 2006 (UTC) reply

I have no objections to this move. -- MarSch 13:58, 14 May 2007 (UTC) reply

You may mean i([K,L]^):=[i(K),i(L)], where i(K) is (algebraic) derivation as here, [ ,] is super-commutator. Just another fomulate of the same thing.-- 刻意(Kèyì) 04:31, 1 April 2009 (UTC) reply

As an afterthought, I decided to look up the Nijenhuis-Richardson bracket:

Nijenhuis, Albert; Richardson, R. W. Jr., Cohomology and deformations in graded Lie algebras, Bull. AMS 72 (1966), 1-29.

Nijenhuis, Albert; Richardson, R. W. Jr., Deformation of Lie algebra structures, J. Math. and Mech., 17 (1967), 89-105.

I don't think the definition given in the article entirely correct. Silly rabbit 16:02, 9 June 2006 (UTC) reply

Please state what is wrong with it or present the alternative definition(s). -- MarSch 09:20, 14 May 2007 (UTC) reply

This article was nominated for deletion on 14 May 2007. The result of the discussion was speedy keep.