Four lectures on nonassociative Lie theory

  1. Pérez-lzquierdo, J.M. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Quasigroups and related systems

ISSN: 1561-2848

Año de publicación: 2011

Volumen: 19

Número: 1

Páginas: 133-168

Tipo: Artículo

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Otras publicaciones en: Quasigroups and related systems

Resumen

This survey corresponds to four lectures on nonassociative Lie theory that wil1 be heId at Workshops Loops?l, Tret, July 21 - 23, 2UlI. In the first lecture we focus on the importance of the space of distributions in the algebraic treatment of loca1 loops. Forma1 loops replace loca1 loops in the second lecture, where the classification of forma1 loops in terms of Sabinin algebras is presented. The geometrica1 meaning of this classification is the topic of the third lecture. The non-existence of quantum loops is discussed in the fina1 lecture.