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- W2615774048 abstract "This book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups. The presentation is comprehensive, beginning with background information on Hopf algebras, and ending with the classification of admissible representations of the q-deformation of a complex semisimple Lie group.The main components are: - a thorough introduction to quantized universal enveloping algebras over general base fields and generic deformation parameters, including finite dimensional representation theory, the Poincare-Birkhoff-Witt Theorem, the locally finite part, and the Harish-Chandra homomorphism, - the analytic theory of quantized complex semisimple Lie groups in terms of quantized algebras of functions and their duals, - algebraic representation theory in terms of category O, and - analytic representation theory of quantized complex semisimple groups." @default.
- W2615774048 created "2017-05-26" @default.
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- W2615774048 date "2020-01-01" @default.
- W2615774048 modified "2023-10-01" @default.
- W2615774048 title "Complex Semisimple Quantum Groups and Representation Theory" @default.
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- W2615774048 doi "https://doi.org/10.1007/978-3-030-52463-0" @default.
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