SL2 (R)

Focusing on the infinite dimensional representation theory of semisimple Lie groups, this book specifically examines SL2(R). It highlights the importance of this area in relation to fields like number theory, particularly through Langlands' work. The text aims to simplify the complexities of representation theory, which has evolved rapidly, making it challenging for newcomers. With only basic prerequisites in real analysis and differential equations, it is designed to be accessible to a broad audience, facilitating entry into this advanced subject.