We work in an office which does not have rooms but instead has compartments which are split by dividing walls and have open tops. The walls are at shoulder height. What are these compartments called in business environment?
I've heard the term cubicles for these compartments.
Informally, such an area is referred to as a:
(where the individual items are cubicles).
They are called open-plan offices.
When I worked at the Bodleian Law Library in Oxford many years ago, there was a series of small cubicles reserved for senior members of the Faculty of Law.These cubicles were called "carrels". It is the only time I have every heard this word used. I don't know whether it could be applied to the case in question.
Functionally, they are work-stations.