Abstract
A classification of \({\text {SL}}(n)\) invariant valuations on the space of convex polytopes in \(\mathbb {R}^n\) without any continuity assumptions is established. A corresponding result is obtained on the space of convex polytopes in \(\mathbb {R}^n\) that contain the origin.
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Acknowledgments
The authors thank the anonymous referees for many helpful comments. The work of Monika Ludwig was supported, in part, by Austrian Science Fund (FWF) Project P25515-N25.
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Ludwig, M., Reitzner, M. SL(n) Invariant Valuations on Polytopes. Discrete Comput Geom 57, 571–581 (2017). https://doi.org/10.1007/s00454-016-9838-7
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DOI: https://doi.org/10.1007/s00454-016-9838-7