I recently did a deep dive into the topic, so here's a list of things I came across that helped me: [1] Teleman 2005: https://math.berkeley.edu/~teleman/math/

I recently did a deep dive into the topic, so here's a list of things I came across that helped me: [1] Teleman 2005: https://math.berkeley.edu/~teleman/math/RepThry.pdf https://math.berkeley.edu/~teleman/math/RepThry.pdf [2] Khonvanov List of Repr Theory Resources http://www.math.columbia.edu/~khovanov/resources/ http://www.math.columbia.edu/~khovanov/resources/ [3] Huang 2010, "Fourier-Theorietic Probabalistic Inference over Permutations" [4] Woit, Topics in Representation Theory Course, http://www.math.columbia.edu/~woit/repthy.html http://www.math.columbia.edu/~woit/repthy.html [5] Gallier 2013, "Spherical Harmonics and Linear Representations of Lie Groups" https://www.cis.upenn.edu/~cis610/sharmonics.pdf https://www.cis.upenn.edu/~cis610/sharmonics.pdf