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Many current public health actions and policies aimed at older people revolve around the often prevailing view that failing health is a consequence of ageing. It is now clear that it is possible to postpone or even prevent much of the age-related decline in health that was once thought inevitable. Future policies must recognise this changing paradi
This volume contains the proceedings of the Workshop on Lie Algebras, in honor of Helmut Strade's 70th Birthday, held from May 22-24, 2013, at the Università degli Studi di Milano-Bicocca, Milano, Italy. Lie algebras are at the core of several areas of mathematics, such as, Lie groups, algebraic groups, quantum groups, representation theory, homogeneous spaces, integrable systems, and algebraic topology. The first part of this volume combines research papers with survey papers by the invited speakers. The second part consists of several collections of problems on modular Lie algebras, their representations, and the conjugacy of their nilpotent elements as well as the Koszulity of (restricted) Lie algebras and Lie properties of group algebras or restricted universal enveloping algebras.
Algebra and number theory have always been counted among the most beautiful mathematical areas with deep proofs and elegant results. However, for a long time they were not considered that important in view of the lack of real-life applications. This has dramatically changed: nowadays we find applications of algebra and number theory frequently in our daily life. This book focuses on the theory and algorithms for polynomials over various coefficient domains such as a finite field or ring. The operations on polynomials in the focus are factorization, composition and decomposition, basis computation for modules, etc. Algorithms for such operations on polynomials have always been a central interest in computer algebra, as it combines formal (the variables) and algebraic or numeric (the coefficients) aspects. The papers presented were selected from the Workshop on Computer Algebra and Polynomials, which was held in Linz at the Johann Radon Institute for Computational and Applied Mathematics (RICAM) during November 25-29, 2013, at the occasion of the Special Semester on Applications of Algebra and Number Theory.
The purpose of this book is to serve as a tool for researchers and practitioners who apply Lie algebras and Lie groups to solve problems arising in science and engineering. The authors address the problem of expressing a Lie algebra obtained in some arbitrary basis in a more suitable basis in which all essential features of the Lie algebra are directly visible. This includes algorithms accomplishing decomposition into a direct sum, identification of the radical and the Levi decomposition, and the computation of the nilradical and of the Casimir invariants. Examples are given for each algorithm. For low-dimensional Lie algebras this makes it possible to identify the given Lie algebra complete...
This volume contains the proceedings of the virtual workshop on Computational Aspects of Discrete Subgroups of Lie Groups, held from June 14 to June 18, 2021, and hosted by the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island. The major theme deals with a novel domain of computational algebra: the design, implementation, and application of algorithms based on matrix representation of groups and their geometric properties. It is centered on computing with discrete subgroups of Lie groups, which impacts many different areas of mathematics such as algebra, geometry, topology, and number theory. The workshop aimed to synergize independent strands in the area of computing with discrete subgroups of Lie groups, to facilitate solution of theoretical problems by means of recent advances in computational algebra.
This book constitutes the proceedings of the 4th International Conference on Mathematical Software, ICMS 2014, held in Seoul, South Korea, in August 2014. The 108 papers included in this volume were carefully reviewed and selected from 150 submissions. The papers are organized in topical sections named: invited; exploration; group; coding; topology; algebraic; geometry; surfaces; reasoning; special; Groebner; triangular; parametric; interfaces and general.
Eye cancers vary in presentation depending upon geographic location and access to healthcare. Global Perspectives in Ocular Oncology offers an international platform for leading ocular oncologists and multidisciplinary specialists to highlight worldwide strengths and solutions to the challenges in treating eye cancer. The goal of the book is to provide a universal view on the management of adult and pediatric tumors affecting the eye and ocular adnexa. A range of topics pertinent to the global community have been included. Organized into seven distinct sections, this book covers international collaborations and initiatives, technology and innovations, and novel treatment strategies. In addition, it provides a glimpse into the future of the specialty. The emphasis on sharing perspectives as well as the global and multidisciplinary framework of the book are unique to the market. This work will appeal to a variety of audiences including ocular oncologists and ophthalmic subspecialists, oncologists and other specialists, optometrists, geneticists, allied medical professionals, and trainees entering these disciplines.
In establishing a professorship in Design & Politics at Delft University of Technology, the Ministry of Housing, Spatial Planning and the Environment has launched a program of education, research and practice for the spatial design of the Netherlands, aimed at reinforcing the interaction between design and politics. The purpose of this book is to offer inspiration and an organizing framework for that program, based on history, reflection, policy and, just as importantly, ambition. The book traces the history of the Netherlands' thinkers, makers and builders. It provides an understanding of how the roles and relationships in Dutch spatial planning have been transformed, and of the ideals, sys...
The articles in this book are based on talks given at the international conference 'Lie algebras, vertex operator algebras and their applications'. The focus of the papers is mainly on Lie algebras, quantum groups, vertex operator algebras and their applications to number theory, combinatorics and conformal field theory.