NonasSociative Algebra and Its Applications

by R. Costa (Editor), Henrique Guzzo Jr. (Editor), A. Grichkov (Editor), L.A. Peresi (Editor)

Overview

A collection of lectures presented at the Fourth International Conference on Nonassociative Algebra and its Applications, held in Sao Paulo, Brazil. Topics in algebra theory include alternative, Bernstein, Jordan, lie, and Malcev algebras and superalgebras. The volume presents applications to population genetics theory, physics, and more.

Product Details

ISBN-13:	9780429529993
Publisher:	CRC Press
Publication date:	05/20/2019
Series:	Lecture Notes in Pure and Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	488
File size:	3 MB

About the Author

R. Costa, Henrique Guzzo Jr., A. Grichkov, L.A. Peresi,

Table of Contents

New approach to octonions and Cayley algebras ,Identities of graded alternative algebras, Invariant connections on symmetric spaces Pilar Benito, Cristina Draper, and Alberto Elduque ,-Ideals in Bernstein algebras, Octonions and affine connections on spheres, Immediate applications of a new classification of finite dimensional simple Lie algebras, An approach to integrable theories in any dimension: the role of non-semisimple Lie algebras, Versal deformations of Lie algebras, Derivations in second order Bernstein algebras, Algebraic structure of the non-abelian Toda models, Alternative rings of small order and the hunt for Moufang circle loops, A note on linearization of some identities, The commuting nucleus of right alternative rings, A construction of Jordan superalgebras from Jordan---Lie triple systems , Rings with (x,y,z) = (x,z,y), On the semisimplicity of special Jordan superalgebras, Bernstein superalgebras of dimension four , Banach--Bernstein algebras and their applications, Jordan superalgebras, Derivations of structurable H*-algebras, Lie mappings of C*-algebras, Sur des anneaux commutatifs uissances associatives de caracteristique premiere Principal Q-bundles, Z x Z-graded Lie algebras containing a Heisenberg algebra, An(1) Toda solitons: a relation between dressing transformations and vertex operators, Computable rings, groups and their isomorphisms, Quantum F-, Conditions d’existence d’une loi de Hardy-Weinberg periodique dans des populations selectivement neutres, Finite semifields three-dimensional over the left nuclei, Supplementing radicals.

Editorial Reviews

Forty papers from the conference held in S<~a>o Paulo, Brazil (date of conference not noted) on such topics as alternative, Jordan, Lie, and Bernstein and Malcev algebras and superalgebras, including applications to population genetics theory and physics. Other subjects include the geometric properties of smooth quasigroups defined by the left square distributive identity, the construction of Toda-type equations in low- and high-dimensional spaces, and an approach to construct a zero curvature representation for integrable theories in spacetimes of dimension + 1 by the introduction of a -form connection. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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