منابع مشابه
The 2-group of symmetries of a split chain complex
We explicitly compute the 2-group of self-equivalences and (homotopy classes of) chain homotopies between them for any split chain complex A• in an arbitrary K-linear abelian category (K any commutative ring with unit). In particular, it is shown that it is a split 2-group whose equivalence class depends only on the homology of A•, and that it is equivalent to the trivial 2-group when A• is a s...
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A (discrete) dynamical system may have various symmetries and reversing symmetries, which together form its so-called reversing symmetry group. We study the set of 3D trace maps (obtained from two-letter substitution rules) which preserve the Fricke-Vogt invariant I(x, y, z). This set of dynamical systems forms a group G isomorphic with the projective linear (or modular) group PGl(2, Z ). For s...
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Toral automorphisms, represented by unimodular integer matrices, are investigated with respect to their symmetries and reversing symmetries. We characterize the symmetry groups of GL(n,Z) matrices with simple spectrum through their connection with unit groups in orders of algebraic number fields. For the question of reversibility, we derive necessary conditions in terms of the characteristic po...
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We give a new computational method to obtain symmetries of ordinary differential equations. The proposed approach appears as an extension of a recent algorithm to compute variational symmetries of optimal control problems [Comput. Methods Appl. Math. 5 (2005), no. 4, pp. 387-409], and is based on the resolution of a first order linear PDE that arises as a necessary and sufficient condition of i...
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The split-coloring problem is a generalized vertex coloring problem where we partition the vertices into a minimum number of split graphs. In this paper, we study some notions which are extensively studied for the usual vertex coloring and the cocoloring problem from the point of view of split-coloring, such as criticality and the uniqueness of the minimum split-coloring. We discuss some proper...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2015
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2015.09.069