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Dedicated to the memory of Irving E. Segal, who introduced me to the beauties and mysteries of representation theory.
1. ALICE AND THE MIRRORS. Let us imagine that Lewis Carroll stopped condensing determinants long enough to write a third Alice book called Alice Through Looking Glass After Looking Glass. The book opens with Alice in her chamber in front of a peculiar cone-shaped arrangement of three looking glasses. She steps through one of the looking glasses and finds… (More)