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Titlebook: Generalized Lie Theory in Mathematics, Physics and Beyond; Sergei Silvestrov,Eugen Paal,Alexander Stolin Book 2009 Springer-Verlag Berlin

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Toward a Theory of Constitutive Justice,nection and the curvature matrix. We calculate the expression for the curvature matrix in terms of the entries of the matrix of .-connection. We also find the form of the Bianchi identity in terms of the curvature matrix and the matrix of a .-connection.
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ommunities in modern mathematics and physics..This volume consists of 5 parts comprising 25 chapters, which were contributed by 32 researchers from 12 different countries. All contributions in the volume have been refereed..978-3-642-09904-5978-3-540-85332-9
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Weakly Nonassociative Algebras, Riccati and KP Hierarchiesary differential equations, solutions of the KP hierarchy with dependent variable in an associative subalgebra (the middle nucleus). We recall central results and consider a class of WNA algebras for which the hierarchy of ODEs reduces to a matrix Ric-cati hierarchy, which can be easily solved. The
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Automorphisms of Finite Orthoalgebras, Exceptional Root Systems and Quantum MechanicsGiven a physical system (quantum or classical), the collection of all its binary observables (properties) may be viewed as an orthoalgebra. In the quantum case, in contrast to the classical, the orthoalgebra cannot have a “bivaluation” (a morphism ending in a two-element orthoalgebra). An interestin
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