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Introduction to Lie Algebras
Lie groups and Lie algebras have become essential to many parts of mathematics and theoretical physics, with Lie algebras a central object of interest in their own right. This book provides an elementary introduction to Lie algebras based on a lecture course given to fourth-year undergraduates. The only prerequisite is some linear algebra and an appendix summarizes the main facts that are needed. The treatment is kept as simple as possible with no attempt at full generality. Numerous worked examples and exercises are provided to test understanding, along with more demanding problems, several of which have solutions. Introduction to Lie Algebras covers the core material required for almost all other work in Lie theory and provides a self-study guide suitable for undergraduate students in their final year and graduate students and researchers in mathematics and theoretical physics.
Hochschild Cohomology for Algebras
This book gives a thorough and self-contained introduction to the theory of Hochschild cohomology for algebras and includes many examples and exercises. The book then explores Hochschild cohomology as a Gerstenhaber algebra in detail, the notions of smoothness and duality, algebraic deformation theory, infinity structures, support varieties, and connections to Hopf algebra cohomology. Useful homological algebra background is provided in an appendix. The book is designed both as an introduction for advanced graduate students and as a resource for mathematicians who use Hochschild cohomology in their work.
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Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras
An introduction to modern developments in the representation theory of finite groups and associative algebras.
Heart Metabolism in Failure
Heart failure continues to be a major public health problem in the United States with close to half a million new cases diagnosed each year. Moreover, deaths from heart failure are on the increase, in part because of advances in the treatment of other fatal diseases, and in part from the prevalence of lifestyles indifferent to the risk factors for heart disease. This is not to say that no progress has been made in the treatment of heart failure. While for many years treatment was confined to the management of the symptoms, in recent years with the advent of ACE inhibitor and ß blacker therapies, real improvements in cardiac function and life expectancy have been achieved (Volume 4B, Leier)....
A Textbook on EDTA Chelation Therapy
Chelation therapy, based on the intravenous infusion of EDTA, is a highly effective treatment for atherosclerotic cardiovasular disease. Saftey and effectivenss are well documented in clinical studies, all of which to date are supportive of this therapy, and there are no studies showing lack of effectiveness. A strong case is made for the use of this safe, efficacious, and inexpensive therapy before resorting to surgery and other risky and invasive treatments. In this newly revised and extensively updated edition of what has come to be regarded as the definitive textbook on the subject, renowned chelation expert Elmer M. Cranton, M.D., presents the work of the world's leading experts in chel...
