A Refinement of the Toral Rank Conjecture for 2-step Nilpotent Lie Algebras
نویسنده
چکیده
It is known that the total (co)-homoloy of a 2-step nilpotent Lie algebra g is at least 2|z|, where z is the center of g. We improve this result by showing that a better lower bound is 2t, where t = |z|+ [ |v|+1 2 ] and v is a complement of z in g. Furthermore, we provide evidence that this is the best possible bound of the form 2t.
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