  These notes present a quick introduction to the q-deformations of semisimple
Lie groups from the point of view of unitary representation theory. In order to
remain concrete, we concentrate entirely on the case of the lie algebra
$\mathrm{sl}(2,\mathbb{C})$ and its associated compact and complex semisimple
Lie groups $\mathrm{SU}(2)$ and $\mathrm{SL}(2,\mathbb{C})$.
  We treat the following topics: The quantized enveloping algebra and its
representations; Hopf algebras and the various notions of quantum groups; real
structures; quantized algebras of functions on a compact semisimple group;
quantized convolution algebras; the Peter-Weyl theorem; quantized complex
semisimple Lie groups as quantum doubles; representations of quantized complex
semisimple Lie groups; the quantum analogue of Harish-Chandra's Plancherel
formula.
