4,788 research outputs found

    Representations of hom-Lie algebras

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    In this paper, we study representations of hom-Lie algebras. In particular, the adjoint representation and the trivial representation of hom-Lie algebras are studied in detail. Derivations, deformations, central extensions and derivation extensions of hom-Lie algebras are also studied as an application.Comment: 16 pages, multiplicative and regular hom-Lie algebras are used, Algebra and Representation Theory, 15 (6) (2012), 1081-109

    The magnetic ground state properties of non-centrosymmetric CePt3_3B1x_{1-x}Six_x

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    We present a study of the alloying series of the non-centrosymmetric ff-electron intermetallic CePt3_3B1x_{1-x}Six_x by means of muon spin rotation and relaxation measurements. In addition, we include a high pressure magnetization investigation of the stoichiometric parent compound CePt3_3B. From our data we establish the nature of the magnetic ground state properties of the series, derive the ordered magnetic moment as function of stoichiometry and gain insight into the evolution of the symmetry of the ordered magnetic state with xx. We thus can verify the notion that the behavior of the sample series can essentially be understood within the framework of the Doniach phase diagram. Further, our findings raise the issue of the role the Dzyaloshinskii-Moriya magnetic interaction plays in correlated electron materials, and its effect on magnetic fluctuations in such materials.Comment: 8 pages, 8 figure

    Toward an ecological aesthetics: music as emergence

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    In this article we intend to suggest some ecological based principles to support the possibility of develop an ecological aesthetics. We consider that an ecological aesthetics is founded in concepts as “direct perception”, “acquisition of affordances and invariants”, “embodied embedded perception” and so on. Here we will purpose that can be possible explain especially soundscape music perception in terms of direct perception, working with perception of first hand (in a Gibsonian sense). We will present notions as embedded sound, detection of sonic affordances and invariants, and at the end we purpose an experience with perception/action paradigm to make soundscape music as emergence of a self-organized system

    Hom-Lie color algebra structures

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    This paper introduces the notion of Hom-Lie color algebra, which is a natural general- ization of Hom-Lie (super)algebras. Hom-Lie color algebras include also as special cases Lie (super) algebras and Lie color algebras. We study the homomorphism relation of Hom-Lie color algebras, and construct new algebras of such kind by a \sigma-twist. Hom-Lie color admissible algebras are also defined and investigated. They are finally classified via G-Hom-associative color algebras, where G is a subgroup of the symmetric group S_3.Comment: 16 page

    Ternary q-Virasoro-Witt Hom-Nambu-Lie algebras

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    In this paper we construct ternary qq-Virasoro-Witt algebras which qq-deform the ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos using su(1,1)su(1,1) enveloping algebra techniques. The ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos depend on a parameter and are not Nambu-Lie algebras for all but finitely many values of this parameter. For the parameter values for which the ternary Virasoro-Witt algebras are Nambu-Lie, the corresponding ternary qq-Virasoro-Witt algebras constructed in this article are also Hom-Nambu-Lie because they are obtained from the ternary Nambu-Lie algebras using the composition method. For other parameter values this composition method does not yield Hom-Nambu Lie algebra structure for qq-Virasoro-Witt algebras. We show however, using a different construction, that the ternary Virasoro-Witt algebras of Curtright, Fairlie and Zachos, as well as the general ternary qq-Virasoro-Witt algebras we construct, carry a structure of ternary Hom-Nambu-Lie algebra for all values of the involved parameters
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