Deformation quantization in the teaching of Lie group representations

• Main Authors: Balsomo, Alexander J, Nable, Job A
• Format: text
• Published: Archīum Ateneo 2017
• Subjects: Differential and algebraic geometry; Non-commutative geometry; Algebraic Geometry; Geometry and Topology; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/14; https://arxiv.org/abs/1709.09394
• Institution: Ateneo De Manila University

In this work, we present straightforward and concrete computations of the unitary irreducible representations of the Euclidean motion group M(2) employing the methods of deformation quantization. Deformation quantization is a quantization method of classical mechanics and is an autonomous approach t...