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Are there any textbooks that provide a good introduction into Representation Theory, assuming a decent level of undergraduate mathematics as a foundation?
by lawrenceyan 6y ago
Are there any textbooks that provide a good introduction into Representation Theory, assuming a decent level of undergraduate mathematics as a foundation?
- cosmic_ape 6y agoNot a standard source for algebraists, but Percy Diaconis's book, mentioned in other comments, is an excellent introduction. Also contains applications in probability.
- benrbray 6y agoI 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
- lawrenceyan 6y agoThank you!