Symplectic structures associated to Lie-Poisson groups

The Lie-Poisson analogues of the cotangent bundle and coadjoint orbits of a Lie group are considered. For the natural Poisson brackets the symplectic leaves in these manifolds are classified and the corresponding symplectic forms are described. Thus the construction of the Kirillov symplectic form is generalized for Lie-Poisson groups.Comment: 30 page

Analysis on Effect Decomposition of Industrial COD Emission

AbstractIn this paper, which is based on the effect decomposition model of the emission of pollutants, the change of the industrial COD emission is researched, and a quantitative analysis is carried out for the scale effect, structure effect and technology effect of the industrial COD emission change. The driving factors and causes for this kind of change are identified and the contribution of the three kinds of effects on the pollution reduction is analyzed. The results show that the gradually increasing scale effect is a major factor causing increasing stress on the pollution reduction. The structure effect which is overall low indicates that the activities of optimization and adjustment for the industrial structure have no significant effect. The increment of the generalized technology effect is a main reason for the reduction of the pollution emission. Wherein, the upgrading of industrial technology and the development of scale economy make a great contribution to reduction of pollution. It is an important way to realize the target of pollution reduction by using clean technology effect to offset the new emission and reducing the stock with pollution control effect

Alien Registration- Brewer, Ella M. (Wade, Aroostook County)

https://digitalmaine.com/alien_docs/32592/thumbnail.jp

Influence of guanxi, trust and farmer-specific factors on participation in emerging vegetable markets in China

The fast development of market outlets (e.g., supermarkets, processing industries, international markets) in China provides rich opportunities for small-scale farmers to upgrade quality and increase income. However, the high level of transaction costs incurred in small-volume-based vegetable transactions hinders farmers from participating in these emerging markets. This article explores how personal relationships (called guanxi in China) and trust between farmers and their buyers influence transaction costs in vegetable transactions, and thereby also farmers’ participation in emerging markets. We interviewed 167 vegetable farmers in Jiangsu Province, which provided data for empirical testing using two-stage probit analysis with endogenous variables. The findings suggest that guanxi and trust effectively reduce transaction costs in vegetable marketing in China, which may help and encourage farmers to better participate in emerging markets. The results also reveal that farmers’ age, education, marketing experience, distance to the market, production scale and land quality influence transaction costs. The article ends with policy implications with respect to efficiently reducing transaction costs in vegetable supply chains in order to create a better environment for small-scale farmers in emerging markets in China

Symplectic structure of the moduli space of flat connections on a Riemann surface

We consider canonical symplectic structure on the moduli space of flat {\g}-connections on a Riemann surface of genus $g$ with $n$ marked points. For {\g} being a semisimple Lie algebra we obtain an explicit efficient formula for this symplectic form and prove that it may be represented as a sum of $n$ copies of Kirillov symplectic form on the orbit of dressing transformations in the Poisson-Lie group $G^{*}$ and $g$ copies of the symplectic structure on the Heisenberg double of the Poisson-Lie group $G$ (the pair ($G,G^{*}$) corresponds to the Lie algebra {\g}).Comment: 20 page

Equivariant comparison of quantum homogeneous spaces

We prove the deformation invariance of the quantum homogeneous spaces of the q-deformation of simply connected simple compact Lie groups over the Poisson-Lie quantum subgroups, in the equivariant KK-theory with respect to the translation action by maximal tori. This extends a result of Neshveyev-Tuset to the equivariant setting. As applications, we prove the ring isomorphism of the K-group of Gq with respect to the coproduct of C(Gq), and an analogue of the Borsuk-Ulam theorem for quantum spheres.Comment: 21 page

Essential role for proteinase-activated receptor-2 in arthritis

Using physiological, pharmacological, and gene disruption approaches, we demonstrate that proteinase-activated receptor-2 (PAR-2) plays a pivotal role in mediating chronic inflammation. Using an adjuvant monoarthritis model of chronic inflammation, joint swelling was substantially inhibited in PAR-2-deficient mice, being reduced by more than fourfold compared with wild-type mice, with virtually no histological evidence of joint damage. Mice heterozygous for PAR-2 gene disruption showed an intermediate phenotype. PAR-2 expression, normally limited to endothelial cells in small arterioles, was substantially upregulated 2 weeks after induction of inflammation, both in synovium and in other periarticular tissues. PAR-2 agonists showed potent proinflammatory effects as intra-articular injection of ASKH95, a novel synthetic PAR-2 agonist, induced prolonged joint swelling and synovial hyperemia. Given the absence of the chronic inflammatory response in the PAR-2-deficient mice, our findings demonstrate a key role for PAR-2 in mediating chronic inflammation, thereby identifying a novel and important therapeutic target for the management of chronic inflammatory diseases such as rheumatoid arthritis

Poisson homology of r-matrix type orbits I: example of computation

In this paper we consider the Poisson algebraic structure associated with a classical $r$-matrix, i.e. with a solution of the modified classical Yang--Baxter equation. In Section 1 we recall the concept and basic facts of the $r$-matrix type Poisson orbits. Then we describe the $r$-matrix Poisson pencil (i.e the pair of compatible Poisson structures) of rank 1 or $CP^n$-type orbits of $SL(n,C)$. Here we calculate symplectic leaves and the integrable foliation associated with the pencil. We also describe the algebra of functions on $CP^n$-type orbits. In Section 2 we calculate the Poisson homology of Drinfeld--Sklyanin Poisson brackets which belong to the $r$-matrix Poisson family