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LYZ Matrices and SL($n$) Contravariant Valuations on Polytopes

LYZ Matrices and SL($n$) Contravariant Valuations on Polytopes

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2501199744

LYZ Matrices and SL($n$) Contravariant Valuations on Polytopes

About this item

Full title

LYZ Matrices and SL($n$) Contravariant Valuations on Polytopes

Author / Creator

Publisher

Canada: Canadian Mathematical Society

Journal title

Canadian journal of mathematics, 2021-04, Vol.73 (2), p.383-398

Language

English

Formats

Publication information

Publisher

Canada: Canadian Mathematical Society

Subjects

Subjects and topics

More information

Scope and Contents

Contents

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.

Alternative Titles

Full title

LYZ Matrices and SL($n$) Contravariant Valuations on Polytopes

Authors, Artists and Contributors

Author / Creator

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Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2501199744

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2501199744

Other Identifiers

ISSN

0008-414X

E-ISSN

1496-4279

DOI

10.4153/S0008414X19000658

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