Deformed and extended Galilei group Hopf algebras
نویسندگان
چکیده
منابع مشابه
Combinatorics of $\phi$-deformed stuffle Hopf algebras
In order to extend the Schützenberger’s factorization to general perturbations, the combinatorial aspects of the Hopf algebra of the φ-deformed stuffle product is developed systematically in a parallel way with those of the shuffle product. and in emphasizing the Lie elements as studied by Ree. In particular, we will give an effective construction of pair of bases in duality.
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3 General results on summability and duality 4 3.1 Total algebras and duality . . . . . . . . . . . . . . . . . . . . . . 4 3.1.1 Series and infinite sums . . . . . . . . . . . . . . . . . . . 4 3.1.2 Summable families in Hom spaces. . . . . . . . . . . . . . 5 3.1.3 Substitutions . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.2 Theorem of Cartier-Quillen-Milnor-Moore (analytic form) . ....
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A particular deformation of central extended Galilei group is considered. It is shown that the deformation influences the rules of constructing the composed systems while one particle states remain basically unaffected. In particular the mass appeared to be non additive.
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We construct, for any given ` = 1 2 + N0, second-order nonlinear partial differential equations (PDEs) which are invariant under the transformations generated by the centrally extended conformal Galilei algebras. This is done for a particular realization of the algebras obtained by coset construction and we employ the standard Lie point symmetry technique for the construction of PDEs. It is obs...
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Inequivalent N = 2 supersymmetrizations of the `-conformal Galilei algebra in d-spatial dimensions are constructed from the chiral (2, 2) and the real (1, 2, 1) basic supermultiplets of the N = 2 supersymmetry. For non-negative integer and half-integer ` both superalgebras admit a consistent truncation with a (different) finite number of generators. The real N = 2 case coincides with the supera...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1996
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/29/19/019