Posted 2022-06-16Updated 2023-03-06Algebra / Representation Theory / Linear Algebra / Lie GroupsIrreducible Representations of SO(3) and the LaplacianIn this post, irreducible representations of $SO(3)$ are studied, with much more extensive applications of linear algebra.Read more
Posted 2022-05-08Updated 2022-07-26Analysis / Algebra / Representation Theory / Linear Algebra / Fourier Series / Lie GroupsStudy Irreducible Representations of SU(2) Using Fourier Series$SU(2)$ has a lot of interesting mathematical and physical properties. In this post we study its irreducible representations in a mathematician's way.Read more