Finite-Dimensional Division Algebras over Fields

Autori

• Nathan Jacobson

Parametri

• 288 pagine
• 11 ore di lettura

• Matematica

Maggiori informazioni sul libro

Focusing on algebras with involution, the book explores their significance in determining semi-simple finite dimensional algebras over a field, as established by the Sliedderburn Theorem. It delves into the historical context of these algebras, particularly their origins in the study of Riemann matrices. The text emphasizes the algebraic aspects, particularly in the fifth chapter, which covers invotorial simple algebras and their connections to Jordan algebras, universal enveloping algebras, and the concept of isotopy, highlighting their various applications.

Lingua: Inglese

Pubblicato: 2014

(In brossura)