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

Osteoporosis

A Rewriting Approach to Graph Invariantsn popping up in the last couple of decades. Concretely, it generalises the underlying structure of expressions to being general graphs, where traditional algebraic notation only supports path- or treelike expressions. This paper demonstrates how to apply the author‘s Generic Diamond Lemma in diagram

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Computing Noncommutative Global Deformations Of D-Modulessider noncommutative deformations of quasi-coherent sheaves of left .-modules on ., and show how to compute their pro-representing hulls. As an application, we compute the noncommutative deformations of the left ..-module .. when . is any elliptic curve.

忍耐

Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional Differential Calculusus. We describe situations where, nonetheless, compositions of β with Keller -maps (on suitable domains) are. Our main applications concern holomorphic families of operators, and the foundations of locally convex Poisson vector spaces.

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Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebrasf Hom-coalgebra, Hom-coassociative coalgebra and G-Hom-coalgebra for any subgroup . of permutation group ... Also we extend the concept of Lie-admissible coalgebra by Goze and Remm to Hom-coalgebras and show that .-Hom-coalgebras are Hom-Lie admissible Hom-coalgebras, and also establish duality corr

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Deformations of the Witt, Virasoro, and Current Algebraymore if the Lie algebra to be deformed is infinite dimensional. Such Lie algebras might be formally rigid but nevertheless allow deformations which are even locally non-trivial. In joint work with Alice Fialowski the author constructed such geometric families for the formally rigid Witt algebra and

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978-3-642-09904-5Springer-Verlag Berlin Heidelberg 2009