SL(n) Contravariant \(L_{p}\) Harmonic Valuations on Polytopes

  • Lijuan Liu
  • Wei WangEmail author


All SL(n) contravariant \(L_{p}\) harmonic valuations on convex polytopes are completely classified without homogeneity assumptions.


Convex ploytope SL(n) contravariance Valuation 

Mathematics Subject Classification

52B45 52A20 



The work of the first author was supported by China Scholarship Council (CSC 201808430267) and the Natural Science Foundation of Hunan Province (2019JJ50172). The work of the second author was supported by the Natural Science Foundation of Hunan Province (2017JJ3085).


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© Springer Science+Business Media, LLC, part of Springer Nature 2020

Authors and Affiliations

  1. 1.School of Mathematics and Computational ScienceHunan University of Science and TechnologyXiangtanPeople’s Republic of China

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