Posted 2022-05-08Updated 2022-05-08Algebra / Analysis / 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
Posted 2022-01-18Updated 2022-01-24Algebra / Representation Theory / Group Algebra / Non-Commutative RingThe Group Algebra of A Finite Group and Maschke's TheoremIn this post we give several forms of Masher's theorem by studying group algebra, which eventually becomes a study of semisimple rings. One can consider this post a chaotic evil introduction to representation theory or something.Read more