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A Tour of Representation Theory
Offers an introduction to four different flavours of representation theory: representations of algebras, groups, Lie algebras, and Hopf algebras. A separate part of the book is devoted to each of these areas and they are all treated in sufficient depth to enable the reader to pursue research in representation theory.
Multiplicative Invariant Theory
Multiplicative invariant theory, as a research area in its own right within the wider spectrum of invariant theory, is of relatively recent vintage. The present text offers a coherent account of the basic results achieved thus far.. Multiplicative invariant theory is intimately tied to integral representations of finite groups. Therefore, the field has a predominantly discrete, algebraic flavor. Geometry, specifically the theory of algebraic groups, enters through Weyl groups and their root lattices as well as via character lattices of algebraic tori. Throughout the text, numerous explicit examples of multiplicative invariant algebras and fields are presented, including the complete list of all multiplicative invariant algebras for lattices of rank 2. The book is intended for graduate and postgraduate students as well as researchers in integral representation theory, commutative algebra and, mostly, invariant theory.
The Lost Spy
A dramatic story of secrets, espionage, murder and cover-ups - the most important Cold War spy story for a generation. For half a century, the case of Isaiah Oggins, a 1920s New York intellectual brutally murdered in 1947 on Stalin's orders, remained hidden in the secret files of the KGB and the FBI - a footnote buried in the rubble of the Cold War. Then, in 1992, it surfaced briefly, when Boris Yeltsin handed over a deeply censored dossier to the White House. THE LOST SPY at last reveals the truth: Oggins was one of the first Americans to spy for the Soviets. Based on six years of international sleuthing, THE LOST SPY traces Oggins's rise in beguiling detail - a brilliant Columbia University graduate sent to run a safe house in Berlin and spy on the Romanovs in Paris and the Japanese in Manchuria - and his fall: death by poisoning in a KGB laboratory.
Our Germans
As this engaging book demonstrates, whether characterized as an expedient Cold War program born from military necessity or a dishonorable episode, the project ultimately reflects American ambivalence about the military-industrial complex and the viability of an "ends justifies the meanssolution to external threats.
Design for Social Innovation
The United Nations, Australia Post, and governments in the UK, Finland, Taiwan, France, Brazil, and Israel are just a few of the organizations and groups utilizing design to drive social change. Grounded by a global survey in sectors as diverse as public health, urban planning, economic development, education, humanitarian response, cultural heritage, and civil rights, Design for Social Innovation captures these stories and more through 45 richly illustrated case studies from six continents. From advocating to understanding and everything in between, these cases demonstrate how designers shape new products, services, and systems while transforming organizations and supporting individual grow...
Lectures on Poisson Geometry
This excellent book will be very useful for students and researchers wishing to learn the basics of Poisson geometry, as well as for those who know something about the subject but wish to update and deepen their knowledge. The authors' philosophy that Poisson geometry is an amalgam of foliation theory, symplectic geometry, and Lie theory enables them to organize the book in a very coherent way. —Alan Weinstein, University of California at Berkeley This well-written book is an excellent starting point for students and researchers who want to learn about the basics of Poisson geometry. The topics covered are fundamental to the theory and avoid any drift into specialized questions; they are illustrated through a large collection of instructive and interesting exercises. The book is ideal as a graduate textbook on the subject, but also for self-study. —Eckhard Meinrenken, University of Toronto
The Origin of Chronic Inflammatory Systemic Diseases and their Sequelae
Chronic inflammatory diseases such as rheumatoid arthritis, ankylosing spondylitis, multiple sclerosis, inflammatory bowel diseases, and others typically stimulate a systemic response of the entire body. This response has a uniform character in many diseases because common pathways are switched on. The uniform response regulates systemic energy and water provision. However, long-term application of this program leads to typical disease sequelae such as fatigue / depressive symptoms, sleep disturbances, anorexia, malnutrition, muscle wasting – cachexia, cachectic obesity, insulin resistance, dyslipidemia, alterations of steroid hormone axes, disturbances of the hypothalamic-pituitary-gonada...
Invitation to Nonlinear Algebra
Nonlinear algebra provides modern mathematical tools to address challenges arising in the sciences and engineering. It is useful everywhere, where polynomials appear: in particular, data and computational sciences, statistics, physics, optimization. The book offers an invitation to this broad and fast-developing area. It is not an extensive encyclopedia of known results, but rather a first introduction to the subject, allowing the reader to enter into more advanced topics. It was designed as the next step after linear algebra and well before abstract algebraic geometry. The book presents both classical topics—like the Nullstellensatz and primary decomposition—and more modern ones—like tropical geometry and semidefinite programming. The focus lies on interactions and applications. Each of the thirteen chapters introduces fundamental concepts. The book may be used for a one-semester course, and the over 200 exercises will help the readers to deepen their understanding of the subject.
