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math.RA2019
A class of nilpotent Lie algebras whose center acts nontrivially in cohomology
Grant Cairns, Barry Jessup, Yuri Nikolayevsky
We show that the central representation is nontrivial for all one-dimensional central extensions of nilpotent Lie algebras possessing a codimension one abelian ideal.
math.RA2016
Cohomology of -graded Lie algebras of maximal class over
Yuri Nikolayevsky, Ioannis Tsartsaflis
We compute the cohomology with trivial coefficients of Lie algebras and of maximal class over the field . In the infinite-dimensiona…