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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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楼主: Diverticulum
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On Generalized ,-Complexes Coming from Twisted DerivationsInspired 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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Adjoint Representations and MovementsThe 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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https://doi.org/10.1007/978-3-642-57018-6find a connection on .? To approach this question, we consider maximal Cohen—Macaulay (MCM) modules over CM algebras that are isolated singularities, and review an obstruction theory implemented in the computer algebra system Singular. We report on results, with emphasis on singularities of finite and tame CM representation type.
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https://doi.org/10.1007/0-387-30784-2 discussed. The bosonisation technique for switching a Hopf algebra in a braided category . . (.: a quasitriangular Hopf algebra) into an ordinary Hopf algebra is presented and it is applied in the case of the parabosonic algebra. A bosonisation-like construction is also introduced for the same algebra and the differences are discussed.
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