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Introduction to Subfactors
Subfactors have been a subject of considerable research activity for about 15 years and are known to have significant relations with other fields such as low dimensional topology and algebraic quantum field theory. These notes give an introduction to the subject suitable for a student who has only a little familiarity with the theory of Hilbert space. A new pictorial approach to subfactors is presented in a late ch apter.
Subfactors and Knots
This book is based on a set of lectures presented by the author at the NSF-CBMS Regional Conference, Applications of Operator Algebras to Knot Theory and Mathematical Physics, held at the U.S. Naval Academy in Annapolis in June 1988. The audience consisted of low-dimensional topologists and operator algebraists, so the speaker attempted to make the material comprehensible to both groups. He provides an extensive introduction to the theory of von Neumann algebras and to knot theory and braid groups. The presentation follows the historical development of the theory of subfactors and the ensuing applications to knot theory, including full proofs of some of the major results. The author treats in detail the Homfly and Kauffman polynomials, introduces statistical mechanical methods on knot diagrams, and attempts an analogy with conformal field theory. Written by one of the foremost mathematicians of the day, this book will give readers an appreciation of the unexpected interconnections between different parts of mathematics and physics.
Focus AmE 2 Students' Book and MyEnglishLab Pack
Focus is a rich, varied and clearly structured upper secondary course that provides. motivating content and a reliable exam preparation path. Its methodology is built around the concept of 3Ms – Motivation, Memory and Meaning that underpin the benefi ts of the course for learners and signal its pedagogical eff ectiveness to teachers.
Coxeter Graphs and Towers of Algebras
A recent paper on subfactors of von Neumann factors has stimulated much research in von Neumann algebras. It was discovered soon after the appearance of this paper that certain algebras which are used there for the analysis of subfactors could also be used to define a new polynomial invariant for links. Recent efforts to understand the fundamental nature of the new link invariants has led to connections with invariant theory, statistical mechanics and quantum theory. In turn, the link invariants, the notion of a quantum group, and the quantum Yang-Baxter equation have had a great impact on the study of subfactors. Our subject is certain algebraic and von Neumann algebraic topics closely related to the original paper. However, in order to promote, in a modest way, the contact between diverse fields of mathematics, we have tried to make this work accessible to the broadest audience. Consequently, this book contains much elementary expository material.
Remote Sensing of Vegetation
An accessible yet rigorous introduction to remote sensing and its application to the study of vegetation for advanced undergraduate and graduate students. The underlying physical and mathematical principles of the techniques disucussed are explained in a way readily understood by those without a strong mathematical background.
Frankie & Stankie
Dinah and her sister Lisa are growing up in 1950s South Africa, where racial laws are tightening. They are two little girls from a dissenting liberal family. Big sister Lisa is strong and sensible, while Dinah is weedy and arty. At school, the sadistic Mrs Vaughan-Jones is providing instruction in mental arithmetic and racial prejudice. And then there's the puzzle of lunch break. 'Would you rather have a native girl or a koelie to make your sandwiches?' a first-year classmate asks. But Dinah doesn't know the answer, because it's her dad who makes her sandwiches. As the apparatus of repression rolls on, Dinah finds her own way. As we follow her journey through childhood and adolescence, we enter into one of the darker passages of twentieth-century history.
Proton Passage Across Cell Membranes
Regulation of intracellular pH is vital to all living cells. This symposium covers the control of pH in muscle and nerve cells and the different mechanisms of acid transport across epithelial and other cell membranes. Papers describe the development and application of microelectrodes and various techniques in molecular biology to the study of the mechanisms of protein transport. Also discusses the significance of pH regulation for the action of hormones and growth factors.
Inigo Jones
Inigo Jones (1573-1652) is widely acknowledged to have been England's most important architect. As court designer to the Stuart kings James I and Charles I, he is credited with introducing the classical language of architecture to the country. He famously traveled to Italy and studied firsthand the buildings of the Italian masters, particularly admiring those by Andrea Palladio. Much less well known is the profound influence of native British arts and crafts on Jones's architecture. Likewise, his hostility to the more opulent forms of Italian architecture he saw on his travels has largely gone unnoted. This book examines both of these overlooked issues. Vaughan Hart identifies well-establish...
