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Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. Procesi's masterful approach to Lie groups through invariants and representations gives the reader a comprehensive treatment of the classical groups along with an extensive introduction to a wide range of topics associated with Lie groups: symmetric functions, theory of algebraic forms, Lie algebras, tensor algebra and symmetry, semisimple Lie algebras, algebraic groups, group representations, invariants, Hilbert theory, and binary forms with fields ranging from pure algebra to functional analysis.Key to this unique exposition is the large amount of background material presented so the book is accessible to a reader with relatively modest mathematical background. Historical information, examples, exercises are all woven into the text.Lie Groups: An Approach through Invariants and Representations will engage a broad audience, including advanced undergraduates, graduates, mathematicians in a variety of areas from pure algebra to functional analysis and mathematical physics.

## About book:

## About file:

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- Series:
**Universitext** - Author:
**Procesi L.** - Year:
**2007** - Publisher:
**Springer** - Language:
**English** - ISBN:
**0387289291,0387260404,9780387260402**

- File size:
**27 248 265** - Format:
**pdf**

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Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday consists of invited expository and research articles on new developments arising from Wolf's profound contributions to mathematics. Due t...

Introduction I. General remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 II. Notations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....

This book addresses Lie groups, Lie algebras, and representation theory. In order to keep the prerequisites to a minimum, the author restricts attention to matrix Lie groups and Lie algebras. This approach keeps the discussion concrete, allows the reader ...

This book provides an introduction to representations of both finite and compact groups. The proofs of the basic results are given for the finite case, but are so phrased as to hold without change for compact topological groups with an invariant integral ...

Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups. Assuming no prior knowledge of Lie groups, this book covers the struc...

This self-contained text concentrates on the perspective of analysis, assuming only elementary knowledge of linear algebra and basic differential calculus. The author describes, in detail, many interesting examples, including formulas which have not previ...

The present book is a continuation of the three-volume work Representation of Lie Groups and Special Functions by the same authors. Here, they deal with the exposition of the main new developments in the contemporary theory of multivariate special fun...

This book is an introduction to the theory of Lie groups and their representations at the advanced undergraduate or beginning graduate level. It covers the essentials of the subject starting from basic undergraduate mathematics. The correspondence between...

The present book is a continuation of the three-volume work Representation of Lie Groups and Special Functions by the same authors. Here, they deal with the exposition of the main new developments in the contemporary theory of multivariate special fun...

Karp continues to help biologists make important connections between key concepts and experimentation. The sixth edition explores core concepts in considerable depth and presents experimental detail when it helps to explain and reinforce the concepts. The...

Retains the easy-to-read format and informal flavor of the previous editions, and includes new material on the symmetric properties of extended arrays (crystals), projection operators, LCAO molecular orbitals, and electron counting rules. Also contains ma...

Kirill Kondrashin is regarded as one of the most brilliant Russian conductors of the 20th century and a great interpreter of Shostakovich, Prokofiev, Tchaikovsky, and Mahler. In Kirill Kondrashin: His Life in Music, Gregor Tassie presents a full biography...

Breathlessness is increasingly recognised as a common, disabling symptom of many advanced diseases and one that is very difficult to treat. There is now an understanding that a multi-disciplinary approach to management can make a significant impact on the...

Public health ethics is a discipline concerned with the health of the public or a population as a whole, rather than focusing on the individual. This book introduces a number of this new field's central concepts and explores the key and controversial issu...

The essays in this volume were written to celebrate the sixtieth birthday of G. E. L. Owen, who by his essays and seminars on ancient Greek philosophy has made a contribution to its study that is second to none. The authors, from both sides of the Atlanti...

This RSPB-endorsed book answers all those burning questions about birds that beginners and experts alike may ask themselves as they go about their birding. How do ducks keep their feet from freezing in winter? Why don't swallows stay in Africa? Are birds ...

A fresh approach to bridging research design with statistical analysis While good social science requires both research design and statistical analysis, most books treat these two areas separately. Understanding and Applying Research Design introduces an ...