Adjoint and Trivial Cohomologies of Nilpotent Complex Lie Algebras of Dimension

Table 1

Singular values for continuous series of 7-dimensional NLAs.

Algebra	Singular values
(dim𝐻^𝑗(𝔤,ℂ))0≤𝑗≤dim𝔤	No singular value
𝜔=exp(2𝑖𝜋/3)	𝔤7,0.4(𝜆)∶
𝔤7,1.1(𝑖𝜆)∶	𝜆=1,𝜆=3,𝜆∈{−𝜔,−𝜔^2}
𝔤7,1.2(𝑖𝜆)(𝜆≠−1)	𝜆=1,𝜆∈{−𝜔,−𝜔^2}
𝔤7,1.3(𝑖𝜆)	𝜆=1;
𝔤7,2.1(𝑖𝜆)	𝜆=0,𝜆=12,𝜆=2,𝜆∈{−𝜔,−𝜔^2}