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# ðŸ“™ Algebraic Geometry IV: Linear Algebraic Groups Invariant Theory by A.N. Parshin, I.R. Shafarevich, V.L. Popov, T.A. Springer, E.B. Vinberg â€” pdf free

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This volume of the Encyclopaedia contains two contributions on closely related subjects: the theory of linear algebraic groups and invariant theory. The first part is written by T.A. Springer, a well-known expert in the first mentioned field. He presents a comprehensive survey, which contains numerous sketched proofs and he discusses the particular features of algebraic groups over special fields (finite, local, and global). The authors of part two, E.B. Vinberg and V.L. Popov, are among the most active researchers in invariant theory. The last 20 years have been a period of vigorous development in this field due to the influence of modern methods from algebraic geometry. The book will be very useful as a reference and research guide to graduate students and researchers in mathematics and theoretical physics.

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- Series:
**Encyclopaedia of Mathematical Sciences** - Author:
**A.N. Parshin, I.R. Shafarevich, V.L. Popov, T.A. Springer, E.B. Vinberg** - Year:
**2010** - Publisher:
**Springer** - Language:
**English** - ISBN:
**9783642081194,3642081193**

- File size:
**3 438 335** - Format:
**djvu**

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The theory of toric varieties (also called torus embeddings) describes a fascinating interplay between algebraic geometry and the geometry of convex figures in real affine spaces. This book is a unified up-to-date survey of the various results and interes...

This text presents an integrated development of the theory of several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theor...

Algebraic geometry and geometric modeling both deal with curves and surfaces generated by polynomial equations. Algebraic geometry investigates the theoretical properties of polynomial curves and surfaces; geometric modeling uses polynomial, piecewise pol...

Alexander Grothendieck's concepts turned out to be astoundingly powerful and productive, truly revolutionizing algebraic geometry. He sketched his new theories in talks given at the SÃƒÂ©minaire Bourbaki between 1957 and 1962. He then collected these lectur...

"Control theory represents an attempt to codify, in mathematical terms, the principles and techniques used in the analysis and design of control systems. Algebraic geometry may, in an elementary way, be viewed as the study of the structure and properties ...

Presents 18 research papers on algebraic geometry, algebraic number theory and algebraic groups. Two summarized surveys on Arthur's invariant trace formula and the representation theory of quantum linear groups by K.F. Lai and Jian-Pan Wang respectively a...

This introduction to the main ideas of algebraic and geometric invariant theory assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the spa...

Multiplicative invariant theory, as a research area in its own right within the wider spectrum of invariant theory, is of relatively recent vintage. The present text offers a coherent account of the basic results achieved thus far. Multiplicative invarian...

Group theory is one of the most fundamental branches of mathematics. This volume of the Encyclopaedia is devoted to two important subjects within group theory. The first part of the book is concerned with infinite groups. The authors deal with combinatori...

James Gleick explains the theories behind the fascinating new science called chaos. Alongside relativity and quantum mechanics, it is being hailed as the twentieth century's third revolution. 8 pages of photos....

"Character" has become a front-and-center topic in contemporary discourse, but this term does not have a fixed meaning. Character may be simply defined by what someone does not do, but a more active and thorough definition is necessary, one that addresses...

The first comprehensive, in-depth guide to chip scale packaging, this reference gives you cutting-edge information on the most important new development in electronic packaging since surface mount technology (SMT). Featuring the latest design techniques, ...

The first comprehensive, in-depth guide to chip scale packaging, this reference gives you cutting-edge information on the most important new development in electronic packaging since surface mount technology (SMT). Featuring the latest design techniques, ...

This revised edition of a mathematical classic originally published in 1957 will bring to a new generation of students the enjoyment of investigating that simplest of mathematical figures, the circle. The author has supplemented this new edition with a s...

Building on fuzzy logic and evolutionary computing, this book introduces fuzzy cooperative coevolution as a novel approach to systems design, conductive to explaining human decision process. Fuzzy cooperative coevolution is a methodology for constructing ...

Cognitive Technology: Instruments of Mind Cognitive Technology is the study of the impact of technology on human cog- tion, the externalization of technology from the human mind, and the pragmatics of tools. It promotes the view that human beings should d...

From the bestselling author and renowned mindfulness teacher, scientist, and educator. . .a guide to living a meaningful life. This follow-up to the widely praised national bestseller Wherever You Go, There You Are is yet another revolutionary offeri...

"Neil Jones is one of the precious few computer scientists with great expertise and leadership roles in both formal methods and complexity. This makes his book especially valuable." -- Yuri Gurevich, Professor of Computer Science, University of Michiga...