An analogue of Weyl's law for quantized irreducible generalized flag manifolds
arXiv:1410.8029 · doi:10.1063/1.4931606
Abstract
We prove an analogue of Weyl's law for quantized irreducible generalized flag manifolds. By this we mean defining a zeta function, similarly to the classical setting, and showing that it satisfies the following two properties: as a functional on the quantized algebra it is proportional to the Haar state; its first singularity coincides with the classical dimension. The relevant formulae are given for the more general case of compact quantum groups.
21 pages, comments are welcome