  The computation of the Brauer group BM of modified supergroup algebras is
perfomed, yielding, in particular, the computation of the Brauer group of all
finite-dimensional triangular Hopf algebras when the base field is
algebraically closed and of characteristic zero. The results are compared with
the computation of lazy cohomology and with Yinhuo Zhang's exact sequence. As
an example, we compute explicitely the Brauer group and lazy cohomology for
modified supergroup algebras with (extensions of) Weyl groups of irreducible
root systems as a group datum and their standard representation as a
representation datum.
