Finite-Dimensional Division Algebras over Fields

Finite-Dimensional Division Algebras over Fields
Author: Nathan Jacobson
Publisher: Springer Science & Business Media
Total Pages: 290
Release: 2009-12-09
Genre: Mathematics
ISBN: 3642024297

Download Finite-Dimensional Division Algebras over Fields Book in PDF, Epub and Kindle

Here, the eminent algebraist, Nathan Jacobsen, concentrates on those algebras that have an involution. Although they appear in many contexts, these algebras first arose in the study of the so-called "multiplication algebras of Riemann matrices". Of particular interest are the Jordan algebras determined by such algebras, and thus their structure is discussed in detail. Two important concepts also dealt with are the universal enveloping algebras and the reduced norm. However, the largest part of the book is the fifth chapter, which focuses on involutorial simple algebras of finite dimension over a field.


Finite-Dimensional Division Algebras over Fields
Language: en
Pages: 290
Authors: Nathan Jacobson
Categories: Mathematics
Type: BOOK - Published: 2009-12-09 - Publisher: Springer Science & Business Media

GET EBOOK

Here, the eminent algebraist, Nathan Jacobsen, concentrates on those algebras that have an involution. Although they appear in many contexts, these algebras fir
Division Algebras:
Language: en
Pages: 242
Authors: G.M. Dixon
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

GET EBOOK

I don't know who Gigerenzer is, but he wrote something very clever that I saw quoted in a popular glossy magazine: "Evolution has tuned the way we think to freq
Lectures on Division Algebras
Language: en
Pages: 130
Authors: David J. Saltman
Categories: Mathematics
Type: BOOK - Published: 1999 - Publisher: American Mathematical Soc.

GET EBOOK

This volume is based on lectures on division algebras given at a conference held at Colorado State University. Although division algebras are a very classical o
Moufang Sets and Structurable Division Algebras
Language: en
Pages: 90
Authors: Lien Boelaert
Categories: Combinatorial group theory
Type: BOOK - Published: 2019-06-10 - Publisher: American Mathematical Soc.

GET EBOOK

A Moufang set is essentially a doubly transitive permutation group such that each point stabilizer contains a normal subgroup which is regular on the remaining
Quaternion Algebras
Language: en
Pages: 877
Authors: John Voight
Categories: Mathematics
Type: BOOK - Published: 2021-06-28 - Publisher: Springer Nature

GET EBOOK

This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse