  The class of standard braided vector spaces, introduced by Andruskiewitsch
and the author in \texttt{arXiv:math/0703924v2} to understand the proof of a
theorem of Heckenberger \cite{H2}, is slightly more general than the class of
braided vector spaces of Cartan type. In the present paper, we classify
standard braided vector spaces with finite-dimensional Nichols algebra. For any
such braided vector space, we give a PBW-basis, a closed formula of the
dimension and a presentation by generators and relations of the associated
Nichols algebra.
