Canonical decomposition of the Cohomology groups of nilpotent Lie algebras

Details Canonical decomposition of the Cohomology groups of nilpotent Lie algebras Canonical decomposition of the Cohomology groups of nilpotent Lie algebras

2012-04-18

arxiv.org/abs/1204.4123v2

Mathematics

Rings and Algebras

19 pages

Scientific paper

Through a natural filtration of the Chevalley-Eilenberg differential complex
for real nilpotent Lie algebras a spectral sequence that converge to the Lie
algebra cohomology arises. From this sequence we define what we call
intermediate cohomology; we give examples and study its properties. Finally we
compute it for all nilpotent Lie algebras up to dimension six.

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