Thiago Oliveira Ferreira

Cohomology of $\mathfrak{psl}(n|n)$ in trivial and in adjoint representations

We compute the cohomology of the projective special linear Lie superalgebra $\mathfrak{psl}(n|n)$ over a field of characteristic zero in trivial and in adjoint coefficients in full detail through its associated Hochschild--Serre spectral sequences. Applications in physics exist for its real form, the projective special...