Deformation quantization in the teaching of Lie group representations

• المؤلفون الرئيسيون: Balsomo, Alexander J, Nable, Job A
• التنسيق: text
• منشور في: Archīum Ateneo 2017
• الموضوعات: Differential and algebraic geometry; Non-commutative geometry; Algebraic Geometry; Geometry and Topology; Mathematics
• الوصول للمادة أونلاين: https://archium.ateneo.edu/mathematics-faculty-pubs/14; https://arxiv.org/abs/1709.09394

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...