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1 results

LYZ Matrices and SL($n$) Contravariant Valuations on Polytopes
Part of
- Polytopes and polyhedra
- General convexity
Dan Ma, Wei Wang
Journal:

Canadian Journal of Mathematics / Volume 73 / Issue 2 / April 2021

Published online by Cambridge University Press:

18 December 2019, pp. 383-398

Print publication:

April 2021
- Article
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All SL($n$) contravariant symmetric matrix valued valuations on convex polytopes in $\mathbb{R}^{n}$ are completely classified without any continuity assumptions. The general Lutwak–Yang–Zhang matrix is shown to be essentially the unique such valuation.