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Modular Representation Theory
This reprint of a 1983 Yale graduate course makes results in modular representation theory accessible to an audience ranging from second-year graduate students to established mathematicians. Following a review of background material, the lectures examine three closely connected topics in modular representation theory of finite groups: representations rings; almost split sequences and the Auslander-Reiten quiver; and complexity and cohomology varieties, which has become a major theme in representation theory.
Tensor Categories
Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving...
The Ecclesiologist
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Handbook of New Technologies for Genetic Improvement of Legumes
A comprehensive and groundbreaking collection of ideas for plant improvement Most of the world's supply of legumes is cultivated under adverse conditions that make this commercially important crop susceptible to the vagaries of nature and damaging stresses. Genetic manipulation has become a proven way for cultivators to battle these pro
The Geometry Of Hessian Structures
The geometry of Hessian structures is a fascinating emerging field of research. It is in particular a very close relative of Kählerian geometry, and connected with many important pure mathematical branches such as affine differential geometry, homogeneous spaces and cohomology. The theory also finds deep relation to information geometry in applied mathematics. This systematic introduction to the subject first develops the fundamentals of Hessian structures on the basis of a certain pair of a flat connection and a Riemannian metric, and then describes these related fields as applications of the theory.
Plant-Microbe Interactions
Plant-Microbe Interactions, Volume 1 Many plant-microbe interactions have agronomic importance because of either beneficial (e.g., nitrogen fixation or biocontrol) or detrimental (e.g., pathogen esis) effects. Although these systems have been the subjects of scientific re search for many years, recently there has been a tremendous increase in our knowledge of them. The increases in this research have followed a similar general increase in plant science research. Classical plant science research disciplines (e.g., agronomy, breeding, plant physiology, systematics, etc.) have been affected by an increased focus on molecular biology. These new technologies, as well as advances in other areas, h...
Nitrogen Fixation in Crop Production
This book presents the science, application, and politics of the use of nitrogen-fixing crop plants across the globe in various environments. Nitrogen fixation can help provide a growing population with a nutritious, environmentally friendly, sustainable food supply. From new "omics" approaches to the role of nitrogen fixation in mitigating greenhouse gas emissions, from farming strategies in nonindustrialized nations to nitrogen fixation in the global economy, scientists will find the key issues and expanding research areas, and how they contribute to the next wave of advancements related to agriculture and the environment
Genetics of Bacterial Polysaccharides
Bacterial surface or secreted polysaccharides are molecules that can function as barriers to protect bacterial cells against environmental stresses, as well as act as adhesins or recognition molecules. In some cases, these molecules are immunodominant antigens eliciting a vigorous immune response, while in other cases the expression of polysaccharides camouflages the bacteria from the immune system. Until recently, most studies on the enzymatic steps and regulation of these molecules were performed on the enteric gram negative bacteria Escherichia coli and Salmonella typhimurium. With the advent of modern bacterial genetics, techniques such as construction and characterization of polysacchar...
Nitrogen Fixation: From Molecules to Crop Productivity
These proceedings bring together diverse disciplines that study nitrogen fixation and describe the most recent advances made in various fields: chemists are now studying FeMoco, the active site of nitrogenase in non-protein surroundings, and have refined the crystal structure of the enzyme to 1.6 angstroms.
Biotechnology of Biofertilizers
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