was he awarded for his character in the series?
Yes, Scream Award for Best Supporting Actor.
Tyrion Lannister
 He also earned a Satellite Award for Best Supporting Actor in a Series, Miniseries or Television Film and a Scream Award for Best Supporting Actor for Season 1 of "Game of Thrones". 
who is the actor that plays tyrion lannister Peter Hayden Dinklage to which work does this character belong to? "Game of Thrones" when was the beginning of his career? 1995 is he suffering from any kind of disorder? UNANSWERABLE which was his debut work? "Living in Oblivion" what more can you tell me about his about mentioned character? He is a fictional character in the "A Song of Ice and Fire" series of epic fantasy novels by American author George R. R. Martin. what is the role of the character in "a clash of kings"? In it disgusted by Joffrey's behavior and Cersei's failure to control him, Tyrion openly opposes the young king and tries to keep the hostage Sansa Stark out of harm's way.
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Tyrion Lannister [SEP] Recognition and awards
In April 2011 both the "Los Angeles Times" and "Entertainment Weekly" pronounced Dinklage worthy of an Emmy Award for his performance in Season 1. He subsequently received one for Outstanding Supporting Actor in a Drama Series, as well as a Golden Globe Award for Best Supporting Actor in a Series, Miniseries, or Television Film. He also earned a Satellite Award for Best Supporting Actor in a Series, Miniseries or Television Film and a Scream Award for Best Supporting Actor for Season 1 of "Game of Thrones". Dinklage won the Emmy for Outstanding Supporting Actor again in 2015, and 2018. Dinklage has been nominated for the Emmy four other times for playing Tyrion, in 2012, 2013, 2014, and 2016.