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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.
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.
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Autorenporträt
R. Costa, Henrique Guzzo Jr., A. Grichkov, L.A. Peresi,
Inhaltsangabe
Preface Contributors New approach to octonions and Cayley algebras /Helena Albuquerque and Shahn Majid Identities of graded alternative algebras /Y. Bahturin and M. Zaicev Invariant connections on symmetric spaces /Pilar Benito, Cristina Draper, and Alberto Elduque £ ideals in Bernstein algebras /A. Catalan Octonions and affine connections on spheres /Alberto Elduque and Hyo Chul Myung Immediate applications of a new classification of finite dimensional simple Lie algebras /Mohammed El Houari An approach to integrable theories in any dimension: the role of non semi simple Lie algebras /Luiz A. Ferreira Versal deformations of Lie algebras /Alice Fialowski Derivations in second order Bernstein algebras /M. A. Garcia Muniz and C. Martinez Algebraic structure of the non abelian Toda models /J. F. Gomes, F. E. Mendonga da Silveira, G. M. Sotkov, and A. H. Zimerman Alternative rings of small order and the hunt for Moufang circle loops /Edgar G. Goodaire A note on linearization of some identities /H. Guzzo, Jr., and P. Vicente The commuting nucleus of right alternative rings /Irvin Roy Hentzel A construction of Jordan superalgebras from Jordan Lie triple systems /Noriaki Kamiya and Susumu Okubo Rings with (x,y,z) = (x,z,y) /Erwin Kleinfeld and Margaret Kleinfeld On the semi simplicity of special Jordan superalgebras /Carlos Gomez Ambrosi and Jesus Laliena Bernstein superalgebras of dimension four /S. Gonzalez, C. Lopez Diaz, and C. Martinez Banach Bemstein algebras and their applications /Yu. Lyubich Jordan superalgebras /C. Martinez Derivations of structurable / /* algebras /J. Martinez Moreno Lie mappings of C* algebras /Martin Mathieu Sur des anneaux commutatifs a puissances associatives de caracteristique premiere p> 0 /Joao Carlos da Motta Ferreira and Artibano Micali Principal ^ bundles /Alexander I. Nesterov Z x Z graded Lie algebras containing a Heisenberg algebra /J. Marshall Osborn and Kaiming Zhao A"(l) Toda solitons: a relation between dressing transformations and vertex operators /H. Belich and R. Paunov Generalized quadratic rings /Luiz Antonio Peresi The derivation algebra of a division composition algebra /J. M. Perez Izquierdo On the structure of the simple Moufang loop GLL (F2) /M. L. Merlini Giuliani and Cesar Polcino Milies Lie groups, differential geometry, and nonlinear integrable systems /A V. Razumov and M. V. Saveliev Smooth quasigroups and loops. Recent achievements and open problems /L. V. Sabinin On smooth left square distributive quasigroup /Liudmila Sabinina Algebraic structure of trans symmetric spaces /L. V. Sbitneva Bernstein algebras whose lattice of ideals is distributive /C. Martinez and J. Setd Specialty problem for Malcev algebras and Poisson Malcev algebras /Ivan P. Shestakov Applications of Lie ring methods to group theory /Pavel Shumyatsky Computable rings, groups and their isomorphisms /Bakhadyr Khoussainov and Arkadii Slinko Quantum F algebras /J. F. Gomes, F. E. Mendonga da Silveira, G. M. Sotkov, and A. H. Zimerman Conditions d'existence d'une loi de Hardy Weinberg periodique dans des populations selectivement neutres /C. Mallol and R. Varro Finite semi fields three dimensional over the left nuclei /G. P. Wene Supplementing radicals of nonassociative rings /Richard Wiegandt.
Preface Contributors New approach to octonions and Cayley algebras /Helena Albuquerque and Shahn Majid Identities of graded alternative algebras /Y. Bahturin and M. Zaicev Invariant connections on symmetric spaces /Pilar Benito, Cristina Draper, and Alberto Elduque £ ideals in Bernstein algebras /A. Catalan Octonions and affine connections on spheres /Alberto Elduque and Hyo Chul Myung Immediate applications of a new classification of finite dimensional simple Lie algebras /Mohammed El Houari An approach to integrable theories in any dimension: the role of non semi simple Lie algebras /Luiz A. Ferreira Versal deformations of Lie algebras /Alice Fialowski Derivations in second order Bernstein algebras /M. A. Garcia Muniz and C. Martinez Algebraic structure of the non abelian Toda models /J. F. Gomes, F. E. Mendonga da Silveira, G. M. Sotkov, and A. H. Zimerman Alternative rings of small order and the hunt for Moufang circle loops /Edgar G. Goodaire A note on linearization of some identities /H. Guzzo, Jr., and P. Vicente The commuting nucleus of right alternative rings /Irvin Roy Hentzel A construction of Jordan superalgebras from Jordan Lie triple systems /Noriaki Kamiya and Susumu Okubo Rings with (x,y,z) = (x,z,y) /Erwin Kleinfeld and Margaret Kleinfeld On the semi simplicity of special Jordan superalgebras /Carlos Gomez Ambrosi and Jesus Laliena Bernstein superalgebras of dimension four /S. Gonzalez, C. Lopez Diaz, and C. Martinez Banach Bemstein algebras and their applications /Yu. Lyubich Jordan superalgebras /C. Martinez Derivations of structurable / /* algebras /J. Martinez Moreno Lie mappings of C* algebras /Martin Mathieu Sur des anneaux commutatifs a puissances associatives de caracteristique premiere p> 0 /Joao Carlos da Motta Ferreira and Artibano Micali Principal ^ bundles /Alexander I. Nesterov Z x Z graded Lie algebras containing a Heisenberg algebra /J. Marshall Osborn and Kaiming Zhao A"(l) Toda solitons: a relation between dressing transformations and vertex operators /H. Belich and R. Paunov Generalized quadratic rings /Luiz Antonio Peresi The derivation algebra of a division composition algebra /J. M. Perez Izquierdo On the structure of the simple Moufang loop GLL (F2) /M. L. Merlini Giuliani and Cesar Polcino Milies Lie groups, differential geometry, and nonlinear integrable systems /A V. Razumov and M. V. Saveliev Smooth quasigroups and loops. Recent achievements and open problems /L. V. Sabinin On smooth left square distributive quasigroup /Liudmila Sabinina Algebraic structure of trans symmetric spaces /L. V. Sbitneva Bernstein algebras whose lattice of ideals is distributive /C. Martinez and J. Setd Specialty problem for Malcev algebras and Poisson Malcev algebras /Ivan P. Shestakov Applications of Lie ring methods to group theory /Pavel Shumyatsky Computable rings, groups and their isomorphisms /Bakhadyr Khoussainov and Arkadii Slinko Quantum F algebras /J. F. Gomes, F. E. Mendonga da Silveira, G. M. Sotkov, and A. H. Zimerman Conditions d'existence d'une loi de Hardy Weinberg periodique dans des populations selectivement neutres /C. Mallol and R. Varro Finite semi fields three dimensional over the left nuclei /G. P. Wene Supplementing radicals of nonassociative rings /Richard Wiegandt.
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