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

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https://doi.org/10.1007/978-3-540-85332-9Algebra; Integrable systems algebras groups; Non-associative algebras; Quasi Lie algebras; linear algebr

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The Character of the UK ConstitutionThe Noether currents generated by continuous Moufang tranformations are constructed and their equal-time commutators are found. The corresponding charge algebra turns out to be a birepresentation of the tangent Mal‘ltsev algebra of an analytic Moufang loop.

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Union of Soviet Socialist Republics,We discuss the role of the transvectant, a device dating from the early history of representation theory, in the theory of Padé approximants and hyperelliptic ?-functions.

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Constitutive Laws and MicrostructureInspired by a result of V. Abramov [1] on .-differential graded algebras, we prove a theorem, analogous to Abramov‘s result but in a slightly different set-up, using a σ- (twisted) derivation as the differential-like map. As an application, we construct a generalized .-complex based on the ring of Laurent polynomials.

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Constrained Deformation of MaterialsA method for constructing Lagrangians for the Lie transformation groups is explained. As examples, Lagrangians for real plane rotations and affine transformations of the real line are constructed.

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Sridhar Gangadharan,Sanjay ChuriwalaIn this paper the groups . of order 32 of the form . = (.. × ..) λ .. are considered. These groups are described by their endomorphism semigroups. It follows from these descriptions that all these groups are determined by their endomorphism semigroups in the class of all groups.

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Marc Gyssens,Luc Vandeurzen,Dirk Van GuchtThe aim of this paper is to develop the theory of higher order movements by using the structure of multiple tangent bundles. In this context the meaning of invariants of polynomials and of matrices is explained. The connection with central and raw moments appearing in probability theory is established

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Moufang Transformations and Noether CurrentsThe Noether currents generated by continuous Moufang tranformations are constructed and their equal-time commutators are found. The corresponding charge algebra turns out to be a birepresentation of the tangent Mal‘ltsev algebra of an analytic Moufang loop.

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