Poisson-Lie dynamical r-matrices from Dirac reduction

The Dirac reduction technique used previously to obtain solutions of the classical dynamical Yang-Baxter equation on the dual of a Lie algebra is extended to the Poisson-Lie case and is shown to yield naturally certain dynamical r-matrices on the duals of Poisson-Lie groups found by Etingof, Enriquez and Marshall in math.QA/0403283.Comment: 10 pages, v2: minor stylistic changes, v3: corrected eq. (4.3

Design, development, and fabrication of a functional adhesive bonding repair experiment to be performed during space flight Final report, Nov. 1966 - May 1968

Adhesive repair system for application in weightless vacuum space environmen

Managing Competitiveness in Food Production Towards EU Accession (Hungarian Case Study)

Hungarian companies in the food sector operate in an increasingly competitive domestic and international environment. These competitive forces will gather strength upon Hungarys integration into the European Union. Increasing management performance, quality enhancement, cost cutting and timely response to signals of a booming market are elemental interests of each Hungarian agri-business that wishes to be successful. The competitiveness of Hungarian food production is decisive factor of the agricultural policy. The competitiveness of food processing depends heavily on the level of development of raw material production. Food processing requires a solid agricultural base capable of producing high volumes of top quality raw material. The reverse side of this influence is also at play. High quality and efficient food processing capable of producing goods that meet world market requirements is a major driving force in the improvement of the competitiveness of agriculture. The position of agricultural producers and conditions of their operation are basically determined by the processing industry The future of Hungarian food production and specially of the three livestock (meat, poultry and dairy) branches studied depends on attaining higher levels of competitiveness. That requires continuous improvement of the performance of these branches and the related production of raw material. Increasing competitive capacity in the marketplace hinges on the level of understanding and meeting consumer requirements, on implementing best practice solutions in production, on improving productivity and on developing innovative products and cost saving methods of processing. Collaboration between the private sector, state agencies, and universities will be beneficial in bringing high-tech equipment and processing and marketing techniques. New products and new technology could be initiated by a stronger collaboration between state agencies, universities, research centers and the private sector. Contractual arrangement to develop new products or new packaging or new processing techniques would need multiplied. Large chains of super and hyper-markets have emerged in the early 90s, soon after the launching of economic reforms. Entrepreneurs in the food industry already know how the demands of retail industry. The absence of trade barriers for food products between Hungary and the EU after accession will call for an even more proactive new strategy to be developed by Hungarian food processors. The study using the methodology of the analysis is benchmarking, that is, a comparison at sector level, by taking into account the structures of the most developed EU countries and Hungary. Benchmarking is one of the means of furthering the above objectives as it aims at identifying and adopting superior business solutions that help realize competitive levels of performance. Benchmarking produces development programs and strategies that allow the application of these best practices of operation. The conclusions can drive the management decisions for agricultural enterprises.Agribusiness,

On the Lagrangian Realization of the WZNW Reductions

We develop a phase space path-integral approach for deriving the Lagrangian realization of the models defined by Hamiltonian reduction of the WZNW theory. We illustrate the uses of the approach by applying it to the models of non-Abelian chiral bosons, $W$-algebras and the GKO coset construction, and show that the well-known Sonnenschein's action, the generalized Toda action and the gauged WZNW model are precisely the Lagrangian realizations of those models, respectively.Comment: 15 pages, DIAS-STP-92-09/UdeM-LPN-TH-92-9

The Ruijsenaars self-duality map as a mapping class symplectomorphism

This is a brief review of the main results of our paper arXiv:1101.1759 that contains a complete global treatment of the compactified trigonometric Ruijsenaars-Schneider system by quasi-Hamiltonian reduction. Confirming previous conjectures of Gorsky and collaborators, we have rigorously established the interpretation of the system in terms of flat SU(n) connections on the one-holed torus and demonstrated that its self-duality symplectomorphism represents the natural action of the standard mapping class generator S on the phase space. The pertinent quasi-Hamiltonian reduced phase space turned out to be symplectomorphic to the complex projective space equipped with a multiple of the Fubini-Study symplectic form and two toric moment maps playing the roles of particle-positions and action-variables that are exchanged by the duality map. Open problems and possible directions for future work are also discussed.Comment: Contribution to the proceedings of the workshop `Lie Theory and its Applications in Physics IX' (Varna, June 2011), 13 page

Global description of action-angle duality for a Poisson-Lie deformation of the trigonometric BCn\mathrm{BC}_n Sutherland system

Integrable many-body systems of Ruijsenaars--Schneider--van Diejen type displaying action-angle duality are derived by Hamiltonian reduction of the Heisenberg double of the Poisson-Lie group $\mathrm{SU}(2n)$. New global models of the reduced phase space are described, revealing non-trivial features of the two systems in duality with one another. For example, after establishing that the symplectic vector space $\mathbb{C}^n\simeq\mathbb{R}^{2n}$ underlies both global models, it is seen that for both systems the action variables generate the standard torus action on $\mathbb{C}^n$, and the fixed point of this action corresponds to the unique equilibrium positions of the pertinent systems. The systems in duality are found to be non-degenerate in the sense that the functional dimension of the Poisson algebra of their conserved quantities is equal to half the dimension of the phase space. The dual of the deformed Sutherland system is shown to be a limiting case of a van Diejen system.Comment: 39 pages, some stylistic changes and typos removed in v