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

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.4931606· OSTI ID:22479594
 [1]
  1. Department of Mathematics, University of Oslo, P.O. Box 1053, Blindern, 0316 Oslo (Norway)

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.

OSTI ID:
22479594
Journal Information:
Journal of Mathematical Physics, Vol. 56, Issue 9; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
Country of Publication:
United States
Language:
English

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