They registered themselves thus after being allotted farmland by a former government of the state of Uttar Pradesh, led by the Samajwadi party.

farm and 应该是 farmland

主体句式:They registered themselves…

结构分析:这是一个简单句，句子的状语比较复杂。该状语是一个时间状语，状语最后的成分led by …是一个过去分词短语，作前面the state of Utar Pradesh的定语。

句子译文:  在由印度社会党领导的前北方邦（印度北部的邦，旧称 United Provinces）州政府分配给他们这些农场土地后，他们就进行了注册。