From the Wikipedia page 
The Republic of Buryatia (Russian: Респу́блика Буря́тия, tr. Respublika Buryatiya, IPA: [rʲɪsˈpublʲɪkə bʊˈrʲætʲɪjə]; Buryat: Буряад Улас, translit. Buryaad Ulas, pronounced [bʊˈrʲɑːt ʊˈlɑs]) is a federal subject of Russia (a republic), located in Siberia in Asia. Its capital is the city of Ulan-Ude. Its area is 351,300 square kilometers (135,600 sq mi).
The head of the Republic is the Head (formerly President), who is elected by the voters of the republic for a four-year term. From 2004 to 2012 the head of Buryatia (along with all other heads of regions in Russia) was nominated directly by the Russian President.
Between 1991-2007, the President was Leonid Vasilyevich Potapov, who was elected on July 1, 1994, re-elected in 1998 (with 63.25% of votes), and then re-elected again on June 23, 2002 (with over 67% of votes). Prior to the elections, Potapov was the Chairman of the Supreme Soviet of the Republic—the highest post at that time.
The current Head of the Republic is Alexey Tsydenov, who was elected by popular vote on 10 September 2017. Prior to this he was acting Head, having been appointed by Russian President Vladimir Putin in February 2017.
The Republic's parliament is the People's Khural, popularly elected every five years. The People's Khural has 66 deputies and is currently dominated by the country's ruling party, United Russia, with 45 seats. Tsyren-Dashi Dorzhiev has been Chairman of the People's Khural since August 2015.
The Republic's Constitution was adopted on February 22, 1994.