Quadrangular Algebras: 46 (Mathematical Notes) - Tapa blanda

Libro 2 de 37: Mathematical Notes

Weiss, Richard M.

 
9780691124605: Quadrangular Algebras: 46 (Mathematical Notes)
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ISBN 10: 0691124604 ISBN 13: 9780691124605
Editorial: Princeton University Press, 2005

Sinopsis

This book introduces a new class of non-associative algebras related to certain exceptional algebraic groups and their associated buildings. Richard Weiss develops a theory of these "quadrangular algebras" that opens the first purely algebraic approach to the exceptional Moufang quadrangles. These quadrangles include both those that arise as the spherical buildings associated to groups of type E6, E7, and E8 as well as the exotic quadrangles "of type F4" discovered earlier by Weiss. Based on their relationship to exceptional algebraic groups, quadrangular algebras belong in a series together with alternative and Jordan division algebras. Formally, the notion of a quadrangular algebra is derived from the notion of a pseudo-quadratic space (introduced by Jacques Tits in the study of classical groups) over a quaternion division ring. This book contains the complete classification of quadrangular algebras starting from first principles. It also shows how this classification can be made to yield the classification of exceptional Moufang quadrangles as a consequence. The book closes with a chapter on isotopes and the structure group of a quadrangular algebra.



Quadrangular Algebras is intended for graduate students of mathematics as well as specialists in buildings, exceptional algebraic groups, and related algebraic structures including Jordan algebras and the algebraic theory of quadratic forms.

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Acerca del autor

Richard M. Weiss is William Walker Professor of Mathematics at Tufts University. He is the author of "The Structure of Spherical Buildings" (Princeton) and the coauthor (with Jacques Tits) of "Moufang Polygons". He received a Humboldt Research Prize in 2004.

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Editorial
Princeton University Press
Año de publicación
2005
Idioma
Inglés
ISBN 10 
0691124604
ISBN 13 
9780691124605
Encuadernación
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Número de páginas
146
Contacto del fabricante
no disponible
Persona responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Alemania

Otras ediciones populares con el mismo título

9788122431346: Quadrangular Algebras

Edición Destacada

ISBN 10:  8122431348 ISBN 13:  9788122431346
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