The Pelian Republic was the Pelian state in the 24th century. It included Peliar Zel II as well as its two inhabited moons, Jotara and Peliora. It was a gubernatorial republic, with governors of Peliar Zel elected every 10 years and given executive decision-making powers.
In 2346 the Pelian Republic was led by Governor Alka Krion. (ST video game: Infinite)
In 2367, the Governor of Peliar Zel was Leka Trion. (TNG novel: The Host)