The Plancherel formula for complex semisimple quantum groups
arXiv:1906.02672
Abstract
We calculate the Plancherel formula for complex semisimple quantum groups, that is, Drinfeld doubles of -deformations of compact semisimple Lie groups. As a consequence we obtain a concrete description of their associated reduced group -algebras. The main ingredients in our proof are the Bernstein-Gelfand-Gelfand complex and the Hopf trace formula.
21 pages. Minor revision. Accepted for publication in Ann. Sci. Ec. Norm. Sup