11,918 research outputs found

    Degenerations and representations of twisted Shibukawa-Ueno R-operators

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    We study degenerations of the Belavin R-matrices via the infinite dimensional operators defined by Shibukawa-Ueno. We define a two-parameter family of generalizations of the Shibukawa-Ueno R-operators. These operators have finite dimensional representations which include Belavin's R-matrices in the elliptic case, a two-parameter family of twisted affinized Cremmer-Gervais R-matrices in the trigonometric case, and a two-parameter family of twisted (affinized) generalized Jordanian R-matrices in the rational case. We find finite dimensional representations which are compatible with the elliptic to trigonometric and rational degeneration. We further show that certain members of the elliptic family of operators have no finite dimensional representations. These R-operators unify and generalize earlier constructions of Felder and Pasquier, Ding and Hodges, and the authors, and illuminate the extent to which the Cremmer-Gervais R-matrices (and their rational forms) are degenerations of Belavin's R-matrix

    Triangular Poisson structures on Lie groups and symplectic reduction

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    We show that each triangular Poisson Lie group can be decomposed into Poisson submanifolds each of which is a quotient of a symplectic manifold. The Marsden-Weinstein-Meyer symplectic reduction technique is then used to give a complete description of the symplectic foliation of all triangular Poisson structures on Lie groups. The results are illustrated in detail for the generalized Jordanian Poisson structures on SL(n).Comment: 12 pages, AMS-Late

    Exploring business transformation : the challenges of developing a benefits realization capability.

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    The successful management of change continues to be a major issue for organizations. This article draws on rich qualitative data to provide evidence of issues faced by organizations as they try to realize benefits from investments in IT-enabled change, and as they try to develop and enhance their benefits realization capability. Several of these issues are not effectively covered by previous research, for example managing the overall portfolio of change initiatives and how to develop the capacity of the organization for benefits realization. The research also provides empirical evidence that supports the theoretical propositions from dynamic capability theory that routines (practices) are often similar across different organizations, and that organizations go through a number of stages in developing competences. A further contribution of the research is to develop an enhanced model of an organizational competence, which has important implications for the action required to develop competences

    A new species of Dialeurodes Cockerell (Hemiptera: Aleyrodidae) on Schefflera Forst and Forst in Florida

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    Descriptions of pupal cases of Dialeurodes schefflerae, new species, as well as distribution records are presented. This species is known to occur in Florida, Hawaii and Puerto Rico appearing to feed only on species of Schefflera Forst and Forst. This restriction to plant hosts in the Asian genus Schefflera, along with its affinities with Dialeurodes agalmae Takahashi, Dialeurodes citri (Ashmead) and Dialeurodes kirkaldyi (Kotinsky), suggests it is an invasive species, probably endemic to the Asian region
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