Conn. Gen. Stat. § 47a-29: (Formerly Sec. 52-537). Action by reversion or remainderman.

When any lessee occupies any land, building, apartment or dwelling unit under a lease or rental agreement from a tenant for life, any person entitled to the reversion or remainder may, upon the death of such tenant for life, proceed against such lessee by summary process, in the manner prescribed in this chapter. All proceedings commenced by such tenant for life for the recovery of such leased premises may, upon his death, be prosecuted in the name of the reversioner or remainderman, in the same manner as the lessor might have prosecuted the same if living.