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Journal articles
PARALLELEPIPEDS, NILPOTENT GROUPS AND GOWERS NORMS
Abstract : In his proof of Szemeredi's Theorem, Cowers introduced certain norms that are defined on a parallelepiped structure. A natural question is on which sets a parallelepiped structure (and thus a Cowers norm) can be defined. We focus on dimensions 2 and 3 and show when this possible, and describe a correspondence between the parallelepiped structures and nilpotent groups.
https://hal-upec-upem.archives-ouvertes.fr/hal-00693082
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Submitted on : Tuesday, May 1, 2012 - 8:01:11 PM
Last modification on : Tuesday, October 19, 2021 - 4:07:07 PM
Contributor : Admin Lama Connect in order to contact the contributor
Submitted on : Tuesday, May 1, 2012 - 8:01:11 PM
Last modification on : Tuesday, October 19, 2021 - 4:07:07 PM
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