Description: Please refer to the section BELOW (and NOT ABOVE) this line for the product details - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Title:Finite-Dimensional Division Algebras Over FieldsISBN13:9783540570295ISBN10:3540570292Author:Jacobson, Nathan (Author)Description:These Algebras Determine, By The Sliedderburn Theorem The Semi-Simple Finite Dimensional Algebras Over A Field They Lead To The Definition Of The Brauer Group And To Certain Geometric Objects, The Brauer-Severi Varieties Sie Shall Be Interested In These Algebras Which Have An Involution Algebras With Involution Arose First In The Study Of The So-Called 'Multiplication Algebras Of Riemann Matrices Albert Undertook Their Study At The Behest Of Lefschetz He Solved The Problem Of Determining These Algebras The Problem Has An Algebraic Part And An Arithmetic Part Which Can Be Solved Only By Determining The Finite Dimensional Simple Algebras Over An Algebraic Number Field We Are Not Going To Consider The Arithmetic Part But Will Be Interested Only In The Algebraic Part In Albert's Classical Book (1939) Both Parts Are Treated A Quick Survey Of Our Table Of Contents Will Indicate The Scope Of The Present Volume The Largest Part Of Our Book Is The Fifth Chapter Which Deals With Invo- Torial Rimple Algebras Of Finite Dimension Over A Field Of Particular Interest Are The Jordan Algebras Determined By These Algebras With Involution Their Structure Is Determined And Two Important Concepts Of These Algebras With Involution Are The Universal Enveloping Algebras And The Reduced Norm Of Great Importance Is The Concept Of Isotopy There Are Numerous Applications Of These Concepts, Some Of Which Are Quite Old Binding:Hardcover, HardcoverPublisher:SPRINGER NATUREPublication Date:2011-10-20Weight:1.29 lbsDimensions:0.69'' H x 9.21'' L x 6.14'' WNumber of Pages:284Language:English
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Book Title: Finite-Dimensional Division Algebras Over Fields
Item Length: 9.3in
Item Width: 6.1in
Author: Nathan Jacobson
Publication Name: Finite-Dimensional Division Algebras over Fields
Format: Hardcover
Language: English
Publisher: Springer Berlin / Heidelberg
Publication Year: 2011
Type: Textbook
Item Weight: 45.5 Oz
Number of Pages: VIII, 284 Pages