Quadrangular Algebras
āĻĢā§āĻŦ ā§¨ā§Ļā§Ļā§¯ ¡ Mathematical Notes āĻŦāĻ 46 ¡ Princeton University Press
star
ā§§āĻāĻŋ āĻ°āĻŋāĻāĻŋāĻ
āĻ-āĻŦā§āĻ
144
āĻĒā§āĻˇā§āĻ āĻž
family_home
āĻāĻĒāĻ¯ā§āĻā§āĻ¤
info
āĻāĻ āĻ-āĻŦā§āĻā§āĻ° āĻŦāĻŋāĻˇā§ā§
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.
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.
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. Thes...
āĻāĻ°āĻ āĻā§āĻāĻā§āĻ¨
āĻ°ā§āĻāĻŋāĻ āĻ āĻĒāĻ°ā§āĻ¯āĻžāĻ˛ā§āĻāĻ¨āĻžāĻā§āĻ˛āĻŋ
ā§§āĻāĻŋ āĻ°āĻŋāĻāĻŋāĻ
āĻ˛ā§āĻāĻ āĻ¸āĻŽā§āĻĒāĻ°ā§āĻā§
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.
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.
āĻ-āĻŦā§āĻā§ āĻ°ā§āĻāĻŋāĻ āĻĻāĻŋāĻ¨
āĻāĻĒāĻ¨āĻžāĻ° āĻŽāĻ¤āĻžāĻŽāĻ¤ āĻāĻžāĻ¨āĻžāĻ¨āĨ¤
āĻĒāĻ āĻ¨ āĻ¤āĻĨā§āĻ¯
āĻ¸ā§āĻŽāĻžāĻ°ā§āĻāĻĢā§āĻ¨ āĻāĻŦāĻ āĻā§āĻ¯āĻžāĻŦāĻ˛ā§āĻ
Android āĻāĻŦāĻ iPad/iPhone āĻāĻ° āĻāĻ¨ā§āĻ¯ Google Play āĻŦāĻ āĻ
ā§āĻ¯āĻžāĻĒ āĻāĻ¨āĻ¸ā§āĻāĻ˛ āĻāĻ°ā§āĻ¨āĨ¤ āĻāĻāĻŋ āĻāĻĒāĻ¨āĻžāĻ° āĻ
ā§āĻ¯āĻžāĻāĻžāĻāĻ¨ā§āĻā§āĻ° āĻ¸āĻžāĻĨā§ āĻ
āĻā§āĻŽā§āĻāĻŋāĻ āĻ¸āĻŋāĻā§āĻ āĻšā§ āĻ āĻāĻĒāĻ¨āĻŋ āĻ
āĻ¨āĻ˛āĻžāĻāĻ¨ āĻŦāĻž āĻ
āĻĢāĻ˛āĻžāĻāĻ¨ āĻ¯āĻžāĻ āĻĨāĻžāĻā§āĻ¨ āĻ¨āĻž āĻā§āĻ¨ āĻāĻĒāĻ¨āĻžāĻā§ āĻĒā§āĻ¤ā§ āĻĻā§ā§āĨ¤
āĻ˛ā§āĻ¯āĻžāĻĒāĻāĻĒ āĻ āĻāĻŽā§āĻĒāĻŋāĻāĻāĻžāĻ°
Google Play āĻĨā§āĻā§ āĻā§āĻ¨āĻž āĻ
āĻĄāĻŋāĻāĻŦā§āĻ āĻāĻĒāĻ¨āĻŋ āĻāĻŽā§āĻĒāĻŋāĻāĻāĻžāĻ°ā§āĻ° āĻā§ā§āĻŦ āĻŦā§āĻ°āĻžāĻāĻāĻžāĻ°ā§ āĻļā§āĻ¨āĻ¤ā§ āĻĒāĻžāĻ°ā§āĻ¨āĨ¤
eReader āĻāĻŦāĻ āĻ
āĻ¨ā§āĻ¯āĻžāĻ¨ā§āĻ¯ āĻĄāĻŋāĻāĻžāĻāĻ¸
Kobo eReaders-āĻāĻ° āĻŽāĻ¤ā§ e-ink āĻĄāĻŋāĻāĻžāĻāĻ¸ā§ āĻĒāĻĄāĻŧāĻ¤ā§, āĻāĻĒāĻ¨āĻžāĻā§ āĻāĻāĻāĻŋ āĻĢāĻžāĻāĻ˛ āĻĄāĻžāĻāĻ¨āĻ˛ā§āĻĄ āĻ āĻāĻĒāĻ¨āĻžāĻ° āĻĄāĻŋāĻāĻžāĻāĻ¸ā§ āĻā§āĻ°āĻžāĻ¨ā§āĻ¸āĻĢāĻžāĻ° āĻāĻ°āĻ¤ā§ āĻšāĻŦā§āĨ¤ āĻŦā§āĻ¯āĻŦāĻšāĻžāĻ°āĻāĻžāĻ°ā§āĻ° āĻāĻĻā§āĻĻā§āĻļā§āĻ¯ā§ āĻ¤ā§āĻ°āĻŋ āĻ¸āĻšāĻžā§āĻ¤āĻž āĻā§āĻ¨ā§āĻĻā§āĻ°āĻ¤ā§ āĻĻā§āĻā§āĻž āĻ¨āĻŋāĻ°ā§āĻĻā§āĻļāĻžāĻŦāĻ˛ā§ āĻ
āĻ¨ā§āĻ¸āĻ°āĻŖ āĻāĻ°ā§ āĻ¯ā§āĻ¸āĻŦ eReader-āĻ āĻĢāĻžāĻāĻ˛ āĻĒāĻĄāĻŧāĻž āĻ¯āĻžāĻŦā§ āĻ¸ā§āĻāĻžāĻ¨ā§ āĻā§āĻ°āĻžāĻ¨ā§āĻ¸āĻĢāĻžāĻ° āĻāĻ°ā§āĻ¨āĨ¤
