During periods of time, this acquistion or imposition of elements of Polish culture, such as the language, under populations of territories controlled, or under the influence of Poland; Jan Kazimierz Chodkiewicz, a Lithuanian nobleman, is a prime example of this act - what is it called? 
Jan Kazimierz Chodkiewicz: Jan Kazimierz Chodkiewicz (1616–1660) (Lithuanian: "Chodkevičius" ) was a Polonized Lithuanian nobleman (szlachcic). Polonization: Polonization (or Polonisation; Polish: "polonizacja" ) was the acquisition or imposition of elements of Polish culture, in particular the Polish language, as experienced in some historic periods by the non-Polish populations of territories controlled or substantially under the influence of Poland.
i don't know