£77.50

Moufang Sets and Structurable Division Algebras (Memoirs of the American Mathematical Society)

Algebra

Price data checked 2 days ago

View at Amazon

Price History & Forecast

Last 89 days • 89 data points

Historical

Generating forecast...

Price Distribution

Price distribution over 89 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £57 (82 days, 92.1%)

Price range: £57 - £78

Price levels: 2 different prices over 89 days

Description

About the Author Lien Boelaert, Ghent University, Belgium.Tom De Medts, Ghent University, Belgium.Anastasia Stavrova, St. Petersburg State University, Saint Petersburg, Russia. Product Description 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 vertices; these regular normal subgroups are called the root groups, and they are assumed to be conjugate and to generate the whole group.It has been known for some time that every Jordan division algebra gives rise to a Moufang set with abelian root groups. The authors extend this result by showing that every structurable division algebra gives rise to a Moufang set, and conversely, they show that every Moufang set arising from a simple linear algebraic group of relative rank one over an arbitrary field $k$ of characteristic different from $2$ and $3$ arises from a structurable division algebra.The authors also obtain explicit formulas for the root groups, the $\tau$-map and the Hua maps of these Moufang sets. This is particularly useful for the Moufang sets arising from exceptional linear algebraic groups.

Product Specifications

Format: paperback
ASIN: 1470435543
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 30 June 2019
Listed Since: 23 March 2019

Barcode

No barcode data available

Moufang Sets and Structurable Division Algebras (Memoirs of the American Mathematical Society)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Automorphisms of Two-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane (Memoirs of the American Mathematical Society)

Structure Theory: 1 (De Gruyter Expositions in Mathematics): 38

Commutative Algebra: Constructive Methods: Finite Projective Modules: 20 (Algebra and Applications, 20)

Shafarevich-Tate Groups (Frontiers in Mathematics)

Group Theory in China: v. 365 (Mathematics and its Applications)

Lie Groups and Lie Algebras: Chapters 7-9 (Elements of Mathematics)

Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries (Encyclopedia of Mathematics and its Applications, Series Number 76)

Grobner-shirshov Bases: Normal Forms, Combinatorial And Decision Problems In Algebra (Combinatorics)

Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis: 41 (Cambridge Studies in Advanced Mathematics, Series Number 41)

Introduction to Quantum Groups

Fuzzy Algebraic Hyperstructures: An Introduction: 321 (Studies in Fuzziness and Soft Computing, 321)

Rings, Modules, and Closure Operations (Springer Monographs in Mathematics)

Classical and Involutive Invariants of Krull Domains: 5 (K-Monographs in Mathematics, 5)

Locally Mixed Symmetric Spaces (Springer Monographs in Mathematics)

General Theory of Leibniz Algebras (Synthesis Lectures on Mathematics & Statistics)

Multifunctorial Equivariant Algebraic K-Theory (London Mathematical Society Lecture Note Series)

Markov's Theorem and 100 Years of the Uniqueness Conjecture: A Mathematical Journey from Irrational Numbers to Perfect Matchings

The Classification of Finite Simple Groups: Volume 1: Groups of Noncharacteristic 2 Type (University Series in Mathematics)

Singularities and Low Dimensional Topology (Bolyai Society Mathematical Studies)

Topics in Operator Semigroups: 281 (Progress in Mathematics, 281)

An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert's 17th Problem (Memoirs of the American Mathematical Society)

Lyapunov Stability of Transformation Semigroups (Latin American Mathematics Series)

Eisenstein Series and Applications: 258 (Progress in Mathematics, 258)

Algebra Without Borders: Classical and Constructive Semigroups and Applications (Mathematics in Mind)