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SL(n) Contravariant Vector Valuations.

Authors :
Li, Jin
Ma, Dan
Wang, Wei
Source :
Discrete & Computational Geometry. Jun2022, Vol. 67 Issue 4, p1211-1228. 18p.
Publication Year :
2022

Abstract

All SL (n) contravariant vector valuations on polytopes in R n are completely classified without any additional assumptions. The facet vector is defined. It turns out to be the unique class of such valuations for n ≥ 3 . In dimension two, the classification corresponds to the known case of S L (2) covariant valuations. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*VALUATION
*CLASSIFICATION

Details

Language :
English
ISSN :
01795376
Volume :
67
Issue :
4
Database :
Academic Search Index
Journal :
Discrete & Computational Geometry
Publication Type :
Academic Journal
Accession number :
156789902
Full Text :
https://doi.org/10.1007/s00454-021-00335-y