Dimension filtration on loops

  1. Mostovoy, J. 2
  2. Pérez-Izquierdo, J.M. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Universidad Nacional Autónoma de México
    info

    Universidad Nacional Autónoma de México

    Ciudad de México, México

    ROR https://ror.org/01tmp8f25

Revue:
Israel Journal of Mathematics

ISSN: 0021-2172

Année de publication: 2007

Volumen: 158

Número: 2

Pages: 105-118

Type: Article

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DOI: 10.1007/S11856-007-0005-Y SCOPUS: 2-s2.0-58449085192 WoS: WOS:000247554000005 arXiv: 0410516 GOOGLE SCHOLAR lock_openAccès ouvert editor

D'autres publications dans: Israel Journal of Mathematics

Dépôt institutionnel: lock_openAccès ouvert Editor

Résumé

We show that the graded group associated to the dimension filtration on a loop acquires the structure of a Sabinin algebra after being tensored with a field of characteristic zero. The key to the proof is the interpretation of the primitive operations of Shestakov and Umirbaev in terms of the operations on a loop that measure the failure of the associator to be a homomorphism. © 2007 The Hebrew University of Jerusalem.