Torben Bürger

• This thesis explores the Shephard–Todd–Chevalley–Serre Theorem, which establishes a crucial equivalence in the study of unitary reflection groups. Beginning with an introduction to the theorem's historical development and its foundational contributions by Shephard, Todd, Chevalley, and Serre, the thesis investigates the algebraic and geometric implications of this equivalence. Key topics include affine algebraic varieties, the orbit space as a quotient variety, and detailed proofs of the main theorem.