This name is a synonym of Carex acuta L..
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 9905507) with original publication details: Novit. Fl. Suec. Mant. 3: 228 1845.
This name record (from Tropicos) was not included in version 1 of The Plant List. It is possible the same name was included from a different data source, to check this you can search for Carex prolixa in version 1 of The Plant List.