Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.
Die Studie nährt sich der Refutatio omnium haeresium „Hippolyts von Rom“ von gänzlich neuer Perspektive an. Sie bietet eine detaillierte Analyse der Gattung der Schrift, die als Werbeschrift für das Christentum identifiziert wird. Ein Schwerpunkt liegt in der Herausarbeitung der Intention und Arbeitsmethode ihres Verfassers vor dem Hintergrund der Methode kaiserzeitlicher Autoren. Es wird aufgezeigt, wie der Verfasser seine Vorlagen kreativ für seine Bedürfnisse verändert und zusammenstellt. Durchgänge durch das Sondergut lassen es wahrscheinlich werden, dass dieses ein weitgehendes literarisches Produkt des Verfassers ist. Eine umfangreiche Untersuchung der sog. Peraten, die Strukturanalyse und gründliche inhaltliche Auseinandersetzung verbindet, schließt sich an. The study approaches the Refutatio omnium haeresium by "Hippolytus of Rome" from a completely new perspective. It offers a detailed analysis of the genre of the writing, which is identified as a protreptikos, a promotional writing for Christianity. One focus is the elaboration of the intention and working method of its author against the background of the method of authors of the imperial period. It is shown how the author creatively changes and compiles his original sources to suit his needs. Passages through the special material make it likely that it is largely a literary product of the author. This is followed by an extensive study of the so-called Peratics, which combines structural analysis and thorough examination of content.
In the wake of World War II, the United States and its allies developed a new type of security arrangement in which a state could maintain a long-term, peacetime military presence on the territory of another equally sovereign state that, unlike earlier practice, was not tied to occupational regimes or colonial rule. The impact of this development on international politics is hard to overstate, and it has become a constitutive feature of contemporary security dynamics. Despite its significance, the origins of this basing practice have remained largely understudied and unexplained. In Armed Guests, Sebastian Schmidt develops a theory to explain the emergence of this phenomenon, which he calls "sovereign basing," and in doing so, shows how its development fundamentally transformed state sovereignty and the very nature of security politics. He applies concepts derived from pragmatist thought to a historical study of the relations between the United States and its wartime allies to explain how sovereign basing originated through the efforts of policymakers to come to grips with the unique security environment of the postwar era. As he argues, the tools offered by pragmatism provide needed analytical leverage over the emergence of novelty and offer valuable insight into the dynamics of stability and change. Armed Guests is a wide-ranging account of the development of sovereign basing practices in the years before and after World War II. It is a book with significant implications for our understanding of contemporary security politics and the future of basing strategies as well as for broader issues in IR, including the sociological foundations of security strategies, the nature of norms, and the practice of sovereignty.
In this Very Short Introduction, Sebastian Amyes explores the nature of bacteria. As a fundamental branch of life, they inhabit every part of the Earth's surface. Amyes examines their origin and evolution, bacteria in the environment, and bacteria and disease, to demonstrate the fundamental role they play in our existence.
Very Short Introductions: Brilliant, Sharp, Inspiring Bacteria form a fundamental branch of life. They are the oldest forms of life as we know it, and they are still the most prolific living organisms. They inhabit every part of the Earth's surface, its ocean depths, and even terrains such as boiling hot springs. They are most familiar as agents of disease, but benign bacteria are critical to the recycling of elements and all ecology, as well as to human health. In this Very Short Introduction, Sebastian G. B. Amyes explores the nature of bacteria, their origin and evolution, bacteria in the environment, and bacteria and disease. In this new edition, he examines the ethical implications of synthetic bacteria, the evolving technologies used to combat antibiotics resistance, and the role bacteria play in the evolutionary development of humans. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Outbreaks, Epidemics, and Health Security: Ensuring Future Preparedness for Small Island Nations and the World reviews the many lessons learned from the COVID-19 pandemic. Topics include epidemic preparedness, the politics of epidemics, health security, anti-vaccine campaigns, vaccine preparedness, the need for detailed information sharing and infection tracking versus protected health information, the effects on international relations, the need for intelligence assets to contribute to global health, and the development of biodefense shields. - Focuses on health security and epidemic control in small island countries - Presents international relations and affairs in the public health context - Summarizes major lessons learned for humanity from the 2020-21 pandemic
Although conventional cogeneration systems have been used successfully in the last two decades, most of them have been large units using mainly hydrocarbon fuels that are becoming increasingly expensive. New cogeneration systems based on fuel cells and sorption air conditioning systems promise to be an energy-saving alternative for situations when cooling, heating and power are needed at low and medium capacities. Cogeneration Fuel Cell-Sorption Air Conditioning Systems examines the thermodynamic principles of fuel cell performance and sorption air conditioning systems, and gives relevant information about the state of the art of these technologies. It also provides the reader with the theoretical bases and knowledge needed to understand the operation of these new cogeneration systems, as well as discussing the design basis and economical evaluation. Topics covered include: • selected fuel cells for cogeneration CHP processes; • state-of-the-art sorption refrigeration systems; • potential applications in demonstration projects; and • profitability assessment of the cogeneration system. Air conditioning and fuel cell engineers; postgraduates and researchers in energy fields; and designers of cooling, heating and power cogeneration systems will find Cogeneration Fuel Cell-Sorption Air Conditioning Systems a useful and informative reference.
Presents a clear, deep and accessible overview of the philosophical, developmental and educational foundations of Rudolf Steiner/Waldorf education - as a dynamic, adaptable, creative process for which a profound sense of the uniqueness of each child is foundational.
PREFACE. THE Author of this very practical treatise on Scotch Loch - Fishing desires clearly that it may be of use to all who had it. He does not pretend to have written anything new, but to have attempted to put what he has to say in as readable a form as possible. Everything in the way of the history and habits of fish has been studiously avoided, and technicalities have been used as sparingly as possible. The writing of this book has afforded him pleasure in his leisure moments, and that pleasure would be much increased if he knew that the perusal of it would create any bond of sympathy between himself and the angling community in general. This section is interleaved with blank shects for the readers notes. The Author need hardly say that any suggestions addressed to the case of the publishers, will meet with consideration in a future edition. We do not pretend to write or enlarge upon a new subject. Much has been said and written-and well said and written too on the art of fishing but loch-fishing has been rather looked upon as a second-rate performance, and to dispel this idea is one of the objects for which this present treatise has been written. Far be it from us to say anything against fishing, lawfully practised in any form but many pent up in our large towns will bear us out when me say that, on the whole, a days loch-fishing is the most convenient. One great matter is, that the loch-fisher is depend- ent on nothing but enough wind to curl the water, -and on a large loch it is very seldom that a dead calm prevails all day, -and can make his arrangements for a day, weeks beforehand whereas the stream- fisher is dependent for a good take on the state of the water and however pleasant and easy it may be for one living near the banks of a good trout stream or river, it is quite another matter to arrange for a days river-fishing, if one is looking forward to a holiday at a date some weeks ahead. Providence may favour the expectant angler with a good day, and the water in order but experience has taught most of us that the good days are in the minority, and that, as is the case with our rapid running streams, -such as many of our northern streams are, -the water is either too large or too small, unless, as previously remarked, you live near at hand, and can catch it at its best. A common belief in regard to loch-fishing is, that the tyro and the experienced angler have nearly the same chance in fishing, -the one from the stern and the other from the bow of the same boat. Of all the absurd beliefs as to loch-fishing, this is one of the most absurd. Try it. Give the tyro either end of the boat he likes give him a cast of ally flies he may fancy, or even a cast similar to those which a crack may be using and if he catches one for every three the other has, he may consider himself very lucky. Of course there are lochs where the fish are not abundant, and a beginner may come across as many as an older fisher but we speak of lochs where there are fish to be caught, and where each has a fair chance. Again, it is said that the boatman has as much to do with catching trout in a loch as the angler. Well, we dont deny that. In an untried loch it is necessary to have the guidance of a good boatman but the same argument holds good as to stream-fishing...
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