£87.50

The Book of Involutions (Colloquium Publications)

Algebra

Price data last checked 61 day(s) ago - refreshing...

View at Amazon

Price History & Forecast

Last 30 days • 30 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 30 days • 1 price levels

Days at Price

Price Analysis

Most common price: £88 (30 days, 100.0%)

Price range: £88 - £88

Price levels: 1 different prices over 30 days

Description

This monograph is an exposition of the theory of central simple algebras with involution, in relation to linear algebraic groups. It provides the algebra-theoretic foundations for much of the recent work on linear algebraic groups over arbitrary fields. Involutions are viewed as twisted forms of (hermitian) quadrics, leading to new developments on the model of the algebraic theory of quadratic forms. In addition to classical groups, phenomena related to triality are also discussed, as well as groups of type $F_4$ or $G_2$ arising from exceptional Jordan or composition algebras. Several results and notions appear here for the first time, notably the discriminant algebra of an algebra with unitary involution and the algebra-theoretic counterpart to linear groups of type $D_4$. This volume also contains a Bibliography and Index.It's features include: original material not in print elsewhere; a comprehensive discussion of algebra-theoretic and group-theoretic aspects; extensive notes that give historical perspective and a survey on the literature; and, rational methods that allow possible generalization to more general base rings.

Product Specifications

Format: hardcover
ASIN: 0821809040
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 08 October 1998
Listed Since: 17 December 2006

Barcode

No barcode data available

The Book of Involutions (Colloquium Publications)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Invariant Theory of Finite Groups (Mathematical Surveys and Monographs)

Quadratic Forms, Linear Algebraic Groups, and Cohomology: 18 (Developments in Mathematics, 18)

An Introduction to Central Simple Algebras and Their Applications to Wireless Communication (Mathematical Surveys and Monographs)

Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras (Mathematical Surveys and Monographs)

Representations of Algebraic Groups (Mathematical Surveys & Monographs)

Arithmetic Groups and Their Generalizations: What, Why, and How (AMS/IP Studies in Advanced Mathematics)

From Rings and Modules to Hopf Algebras: One Flew Over the Algebraist's Nest

Introduction to Quadratic Forms Over Fields (Graduate Studies in Mathematics)

The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups (Memoirs of the American Mathematical Society)

Geometric Group Theory (Colloquium Publications)

Structural Properties of Polylogarithms - AMS Mathematics Book

Abstract Algebra: An Introduction to Groups, Rings and Fields: INTRO TO GROUP, RING..

Identities of Algebras and their Representations - Mathematics

Connective Real K-theory of Finite Groups: 169 (Mathematical Surveys and Monographs)

Groupoids, Inverse Semigroups, and their Operator Algebras: 170 (Progress in Mathematics, 170)

Commutative Algebra (Graduate Studies in Mathematics)

A Tool Kit for Groupoid $C^{*}$-Algebras (Mathematical Surveys and Monographs)

Perverse Sheaves and Applications to Representation Theory (Mathematical Surveys and Monographs)

Automorphic Representations Of Low Rank Groups

Springer Computational Invariant Theory: 130 Mathematics Book

Polynomial Identities and Asymptotic Methods (Mathematical Surveys & Monographs)

Algebraic Geometry IV: Linear Algebraic Groups Invariant Theory: 55 (Encyclopaedia of Mathematical Sciences, 55)

Rings and Things and a Fine Array of Twentieth Century Associative Algebra: 65 (Mathematical Surveys & Monographs)

Algebras, Rings and Modules: Lie Algebras and Hopf Algebras (Mathematical Surveys and Monographs)