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Title: An analogue of Weyl’s law for quantized irreducible generalized flag manifolds

We prove an analogue of Weyl’s law for quantized irreducible generalized flag manifolds. This is formulated in terms of a zeta function which, similarly to the classical setting, satisfies the following two properties: as a functional on the quantized algebra it is proportional to the Haar state and its first singularity coincides with the classical dimension. The relevant formulas are given for the more general case of compact quantum groups.
Authors:
 [1]
  1. Department of Mathematics, University of Oslo, P.O. Box 1053, Blindern, 0316 Oslo (Norway)
Publication Date:
OSTI Identifier:
22479594
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 9; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; FUNCTIONS; QUANTUM GROUPS; SINGULARITY