for math and physics advanced undergrads as they have already taken up the Prerequisites indicated and i may add basic prior course in complex analysis
math.stonybrook.edu/~kirillov/

from my old notes in Lie groups, one of those self-made workouts in the past when I first introduced Lie groups to myself, it was also in those days i met alyn a year before she finally convinced herself to take up an engineering course, the time we met she was still a working girl being a cook and a waitress in a diner owned by her relative. at first she liked to pursue chemical engineering but when she actually enrolled she… a different engineering degree although orphaned already at that time and had to take care of her younger siblings she wasn’t totally hard-up economically since she inherited small landed properties and an apartment from her parents although she loved to work and earn extra money (re the quiz, you can consult any textbook in Lie groups and Lie algebra and there are some advanced textbooks in differential geometry that cover topics on LG and there are even quantum field theory books that contain introductory discussions on such subject)

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an expert reader would have noticed last night's typo! if i'd have the extra time and energy be providing additional details

cleaning it up with few strokes and hope things can be more legible

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