An essential first course in Lie groups, especially for those who are interested in postgraduate geometry. There will be a slight bias towards focusing on matrix Lie groups, as I find this bit and its link with physics more interesting. Based on a mix of resources, including Lie Groups, Lie Algebras, and Representations: An Elementary Introduction by Brian C. Hall and Representation Theory by Fulton and Harris, not to mention the outstanding lecture notes provided by John Baez on his website, which were the main inspiration!
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