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An Introduction to Harmonic Analysis on Semisimple Lie Groups
Now in paperback, this graduate-level textbook is an introduction to the representation theory of semi-simple Lie groups. As such, it will be suitable for research students in algebra and analysis, and for research mathematicians requiring a readable account of the topic. The author emphasizes the development of the central themes of the sunject in the context of special examples, without losing sight of its general flow and structure. The book concludes with appendices sketching some basic topics with a comprehensive guide to further reading.
IAN Textbook of Neurology
This book is a comprehensive guide to the diagnosis and management of both common and rare neurological disorders, for practising neurologists and trainees. Divided into twelve chapters, each section is dedicated to a subspecialty of neurology, including movement disorders, headache, epilepsy, neurotoxicology, stroke and more. Topics are presented with a broad overview and include recent advances in the field. Content is further enhanced by tables, clinical images, boxes and flow charts to assist learning. Key points Comprehensive guide to neurological disorders for clinicians and trainees Each section dedicated to a subspecialty of neurology Includes recent advances in the field Highly illustrated with tables, clinical images, boxes and flow charts
Hypergraph Seminar
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Management of Microbial Resources in the Environment
This volume details the exploration, collection, characterization, evaluation and conservation of microbes for sustainable utilization in the development of the global as well as national economies, e.g. in agriculture, ecosystems, environments, industry and medicine. Many research institutes and universities all over the world carry out microbiological and biotechnological research, which generates substantial genomic resources such as cDNA libraries, gene constructs, promoter regions, transgenes and more valuable assets for gene discovery and transgenic product development. This work provides up-to-date information on the management of microbial resources in the environment. It also covers...
Nilpotent Orbits, Primitive Ideals, and Characteristic Classes
1. The Subject Matter. Consider a complex semisimple Lie group G with Lie algebra g and Weyl group W. In this book, we present a geometric perspective on the following circle of ideas: polynomials The "vertices" of this graph are some of the most important objects in representation theory. Each has a theory in its own right, and each has had its own independent historical development. - A nilpotent orbit is an orbit of the adjoint action of G on g which contains the zero element of g in its closure. (For the special linear group 2 G = SL(n,C), whose Lie algebra 9 is all n x n matrices with trace zero, an adjoint orbit consists of all matrices with a given Jordan canonical form; such an orbit is nilpotent if the Jordan form has only zeros on the diagonal. In this case, the nilpotent orbits are classified by partitions of n, given by the sizes of the Jordan blocks.) The closures of the nilpotent orbits are singular in general, and understanding their singularities is an important problem. - The classification of irreducible Weyl group representations is quite old.
D.M. Harish on Income Tax: Sections 207 to 269UO
Chiefly comments of legal cases and case notes based on Income-tax Act, 1961 of India.
