• New Age Quadrangular Algebras New Age Quadrangular Algebras

New Age Quadrangular Algebras

Product Code : 8122431346

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Regular Price: Rs. 150

Special Price: Rs. 145

Quick Overview

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.

This special low-priced edition is for sale in India, Bangladesh, Bhutan, Maldives, Nepal, Myanmar, Pakistan and Sri Lanka only.


  1. Basic Definitions

  2. Quadratic Forms

  3. Quadrangular Algebras

  4. Proper Quadrangular Algebras

  5. Special Quadrangular Algebras

  6. Regular Quadrangular Algebras

  7. Defective Quadrangular Algebras

  8. Isotopes

  9. Improper Quadrangular Algebras

  10. Existence

  11. Moufang Quadrangles

  12. The Structure Group

  13. Bibliography.

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Brand / Publisher New Age International
Return Policy 15 Days
Edition 2015
ISBN 8122431346
Author M. Weiss Richard
Language English
Board CBSE
Class KinderGarten
Study Stream Arts
Subject Mathematics
Pages 148
Binding Paperback
Notebook Binding Type Paperback


Brand Information

New Age Established in 1966, New Age International Publishers is the market leader in educational books and is now ranked among leading publishing houses bringing out professional and college level textbooks in Commerce & Management, Science & Technology and Medical Sciences. Our current list includes 1500+ titles mainly in STM, which has earned the trust of educators and students alike. Because of our commitment to accuracy, integrity, authenticity and excellence, our books spanning the post secondary learning spectrum from college to career making professional level have transformed NEW AGE into a brand name.


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