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Elliptic curves
Anthony W. Knapp,An elliptic curve is a particular kind of cubic equation in two variables whose projective solutions form a group. Modular forms are analytic functions in the upper half plane with certain transformation laws and growth properties. The two subjects--elliptic curves and modular forms--come togethe...
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Representation theory of semisimple groups
Anthony W. Knapp,In this classic work, Anthony W. Knapp offers a survey of representation theory of semisimple Lie groups in a way that reflects the spirit of the subject and corresponds to the natural learning process. This book is a model of exposition and an invaluable resource for both graduate students and r...
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Unipotent ideals and harish-chandra bimodules
Ivan Loseu, Dmytro Matvieievskyi, Lucas Mason-Brown,A groundbreaking book that applies new geometric tools to one of the oldest problems in representation theory, expanding the field and paving the way for further progressIn the 1920s, Hermann Weyl gave a complete classification of the irreducible unitary representations of a compact Lie group G. ...
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