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Representation Theory of Complex Semisimple Quantum Groups

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Complex Semisimple Quantum Groups and Representation Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2264))

Abstract

In this chapter, we discuss the representation theory of complex semisimple quantum groups. The appropriate notion of a G q-representation here is that of a Harish-Chandra module for G q, which means an essential \(\mathfrak {D}(G_q)\)-module with K q-types of finite multiplicity, see Sect. 6.2. In particular, the irreducible unitary representations of G q belong to this class.

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Voigt, C., Yuncken, R. (2020). Representation Theory of Complex Semisimple Quantum Groups. In: Complex Semisimple Quantum Groups and Representation Theory. Lecture Notes in Mathematics, vol 2264. Springer, Cham. https://doi.org/10.1007/978-3-030-52463-0_6

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