PreprintarXiv licencearXiv
SL(n)-covariant symmetric tensor valuations on polytopes
Abstract
All SL(n)-covariant symmetric tensor valuations on convex polytopes in ℝn are completely classified without any continuity assumptions. It is shown that the only such valuation is the moment tensor.
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BibTeX
@misc{zeng2026slncovariant,
title = {{SL(n)-covariant symmetric tensor valuations on polytopes}},
author = {Chunna Zeng and Xiaoyu Cheng},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.22114},
eprint = {2610.22114},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.22114},
}
RIS
TY - UNPB
TI - SL(n)-covariant symmetric tensor valuations on polytopes
AU - Chunna Zeng
AU - Xiaoyu Cheng
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2610.22114
UR - https://arxiv.org/abs/2610.22114
AB - All SL(n)-covariant symmetric tensor valuations on convex polytopes in ℝ^n are completely classified without any continuity assumptions. It is shown that the only such valuation is the moment tensor.
ER -