Geodesic
LYZ Matrices and SL($n$) Contravariant Valuations on Polytopes
Canadian journal of mathematics, Tome 73 (2021) no. 2, pp. 383-398

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DOI

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.
DOI : 10.4153/S0008414X19000658
Mots-clés : LYZ matrix, valuation, convex polytope, SL(n) contravariance 
Ma, Dan; Wang, Wei. LYZ Matrices and SL($n$) Contravariant Valuations on Polytopes. Canadian journal of mathematics, Tome 73 (2021) no. 2, pp. 383-398. doi: 10.4153/S0008414X19000658
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     title = {LYZ {Matrices} and {SL(}$n$) {Contravariant} {Valuations} on {Polytopes}},
     journal = {Canadian journal of mathematics},
     pages = {383--398},
     year = {2021},
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     doi = {10.4153/S0008414X19000658},
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