Peter-Weyl bases, preferred deformations, and Schur-Weyl duality

• Main Authors: Giaquinto, Anthony, Gilman, Alex, Tingley, Peter
• Format: Journal Article
• Language: English
• Published: 14.06.2019
• Subjects: Mathematics - Quantum Algebra; Mathematics - Representation Theory

We discuss the deformed function algebra of a simply connected reductive Lie group G over the complex numbers using a basis consisting of matrix elements of finite dimensional representations. This leads to a preferred deformation, meaning one where the structure constants of comultiplication are un...