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Moufang loops and groups with triality are essentially the same thing /

In 1925 Élie Cartan introduced the principal of triality specifically for the Lie groups of type D_4, and in 1935 Ruth Moufang initiated the study of Moufang loops. The observation of the title in 1978 was made by Stephen Doro, who was in turn motivated by the work of George Glauberman from 1968. H...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Hall, J. I. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, RI : American Mathematical Society, 2019.
Colección:Memoirs of the American Mathematical Society ; no. 1252.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:In 1925 Élie Cartan introduced the principal of triality specifically for the Lie groups of type D_4, and in 1935 Ruth Moufang initiated the study of Moufang loops. The observation of the title in 1978 was made by Stephen Doro, who was in turn motivated by the work of George Glauberman from 1968. Here the author makes the statement precise in a categorical context. In fact the most obvious categories of Moufang loops and groups with triality are not equivalent, hence the need for the word ""essentially.""
Descripción Física:1 online resource (xiv, 186 pages)
Bibliografía:Includes bibliographical references and index.
ISBN:1470453215
9781470453213
ISSN:1947-6221 ;