I actually gave the same answer as neilmac to a similar FR>EN KudoZ query in 2010, but recently found that the preferred terminology in English seems to be "striatal" rather than "lenticulo(-)caudate".

Anatomically speaking, the caudate nucleus and lenticular nucleus together form the striate nucleus (AKA Corpus striatum, Striatum), and the striate nucleus gets its 'stripes' from a nerve tract passing right through it: the internal capsule.

"Striatocapsular infarction has recently been described as a distinct stroke entity and forms an important subgroup of subcortical infarctions."
https://www.ncbi.nlm.nih.gov/pubmed/1998890

Functionally, the striatum coordinates multiple aspects of cognition, including both motor and action planning, decision-making, motivation, reinforcement, and reward perception. The striatum is made up of the caudate nucleus and the lentiform nucleus. The lentiform nucleus is made up of the larger putamen, and the smaller globus pallidus.
https://en.wikipedia.org/wiki/Striatum