Quantum Groups

These notes correspond rather accurately to the translation of the lectures given at the Fifth Mexican School of Particles and Fields, held in Guanajuato, Gto., in December~1992. They constitute a brief and elementary introduction to quantum symmetries from a physical point of view, along the lines of the forthcoming book by C. G\'omez, G. Sierra and myself.Comment: 37 pages, plain.te

New Solutions to the Yang--Baxter Equation from Two--Dimensional Representations of Uq(sl(2))U_q(sl(2)) at Roots of Unit

We present particularly simple new solutions to the Yang--Baxter equation arising from two--dimensional cyclic representations of quantum $SU(2)$. They are readily interpreted as scattering matrices of relativistic objects, and the quantum group becomes a dynamical symmetry.Comment: 11 page

Sustainable business models: integrating employees, customers and technology

This Special Issue of the Journal of Business & Industrial Marketing has the same title as the 23rd International Conference CBIM 2018 (June 18-20, 2018, Madrid, Spain) “Sustainable Business Models: Integrating Employees, Customers and Technology”. In this edition of International Conference, following a competitive blind review process, papers from 126 authors and 25 countries were ultimately accepted. The best papers of the Conference were invited to submit to this Special Issue and we were also open to direct submissions from other authors. We present here the 17 accepted papers for publication in this Special Issue

The Kovacs effect in the one-dimensional Ising model: a linear response analysis

We analyze the so-called Kovacs effect in the one-dimensional Ising model with Glauber dynamics. We consider small enough temperature jumps, for which a linear response theory has been recently derived. Within this theory, the Kovacs hump is directly related to the monotonic relaxation function of the energy. The analytical results are compared with extensive Monte Carlo simulations, and an excellent agreement is found. Remarkably, the position of the maximum in the Kovacs hump depends on the fact that the true asymptotic behavior of the relaxation function is different from the stretched exponential describing the relevant part of the relaxation at low temperatures.Comment: accepted for publication in Phys. Rev.

Transformation of anthropological status in elderly with type II diabetes through exercise: pilates and aerobic exercise

Las estadísticas muestran que 285 millones de personas sufren de Diabetes Tipo II, esto es el 6% de la población mundial adulta y 60 millones de personas en los Estados Unidos (10% de la población). De los 47 millones de habitantes que posee España, mas de 3 millones de personas sufren de diabetes (6.4%). En el año 2010 se gastaron más de 106 mil millones de dólares en salud por causa de la diabetes en los Estados Unidos. El ejercicio físico es una manera de evitar la diabetes en la población a través de: un mejor uso de la propia insulina producida por el cuerpo, de la quema de grasas, del control del peso corporal, del aumento de la fuerza muscular y del aumento en la densidad y calidad ósea. Una frecuencia semanal de 250 a 300 minutos de actividad física puede resultar de gran ayuda en el control de esta patología. La práctica de Pilates es un ejercicio que puede ser utilizado para lograr fácilmente un estado físico saludable. Puede ser realizado en el hogar, aprendiendo la técnica a través de la TV o de DVDs, es conveniente y sin costos. Además no presenta riesgos para las personas con diabetes tipo II, quienes son vulnerables por presentar una biomecánica disminuida en los miembros inferiores y/o una disfunción de la marcha