Conn. Gen. Stat. § 4-9d

(b) As used in this subsection, “legislative leader” means: (1) For members of the majority party of the Senate, the president pro tempore of the Senate; (2) for members of the minority party of the Senate, the minority leader of the Senate; (3) for members of the majority party of the House of Representatives, the speaker of the House of Representatives; (4) for members of the minority party of the House of Representatives, the minority leader of the House of Representatives. Unless otherwise provided by law, when a member of the General Assembly who, as such member, is required to serve on a board, commission, council, authority, task force or other body, and is unable or chooses not to so serve, the legislative leader of such member may designate another member of the General Assembly to serve on such body in the place of such member, except that if such member is required by law to serve as a chairperson or presiding officer of such body, the legislative leader of such member shall not designate another member to serve on such body in the place of such member.