This can be an user-friendly advent to the illustration idea of genuine and intricate matrix teams. The textual content is written for college kids in arithmetic and physics who've a very good wisdom of differential/integral calculus and linear algebra and are accustomed to easy evidence from algebra, quantity thought and intricate research. The objective is to offer the elemental recommendations of illustration thought, to explain the relationship among them, and to provide an explanation for a few of their heritage. the focal point is on teams that are of specific curiosity for functions in physics and quantity concept (e.g. Gell-Mann's eightfold method and theta capabilities, automorphic forms). The reader reveals a wide number of examples that are provided intimately and from various issues of view.
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