Quadrangular Algebras. (MN-46)

Download Quadrangular Algebras. (MN-46) (Mathematical Notes) by Richard M. Weiss PDF

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Please review your cart. You can remove the unavailable item s now or we'll automatically remove it at Checkout. 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.

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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.

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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. Sponsored Products are advertisements for products sold by merchants on Amazon. When you click on a Sponsored Product ad, you will be taken to an Amazon detail page where you can learn more about the product and purchase it. To learn more about Amazon Sponsored Products, click here.

Devaney, Bulletin of the AMS. He received a Humboldt Research Prize in Would you like to tell us about a lower price? If you are a seller for this product, would you like to suggest updates through seller support? Learn more about Amazon Prime.

by Weiss, Richard M

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. Please review your cart. He has less than 48 hours to hand over the money or die. Sponsored products related to this item What's this? Is your family bible valuable? Why Prove it Again? Quadrangular Algebras is meant for graduate scholars of arithmetic in addition to experts in structures, extraordinary algebraic teams, and similar algebraic buildings together with Jordan algebras and the algebraic conception of quadratic kinds.

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Quadrangular Algebras. (MN-46): (Mathematical Notes);