Introduction to Algebraic Geometry and Algebraic Groups

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Author :
Release : 1980-01-01
Genre : Mathematics
Kind :
Book Rating : 50X/5 ( reviews)

Introduction to Algebraic Geometry and Algebraic Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Algebraic Geometry and Algebraic Groups write by . This book was released on 1980-01-01. Introduction to Algebraic Geometry and Algebraic Groups available in PDF, EPUB and Kindle. Introduction to Algebraic Geometry and Algebraic Groups

An Introduction to Algebraic Geometry and Algebraic Groups

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Author :
Release : 2013-03-14
Genre : Mathematics
Kind :
Book Rating : 16X/5 ( reviews)

An Introduction to Algebraic Geometry and Algebraic Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Algebraic Geometry and Algebraic Groups write by Meinolf Geck. This book was released on 2013-03-14. An Introduction to Algebraic Geometry and Algebraic Groups available in PDF, EPUB and Kindle. An accessible text introducing algebraic groups at advanced undergraduate and early graduate level, this book covers the conjugacy of Borel subgroups and maximal tori, the theory of algebraic groups with a BN-pair, Frobenius maps on affine varieties and algebraic groups, zeta functions and Lefschetz numbers for varieties over finite fields.

Introduction to Algebraic Geometry

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Release : 2019-03-20
Genre : Mathematics
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Book Rating : 80X/5 ( reviews)

Introduction to Algebraic Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Algebraic Geometry write by Serge Lang. This book was released on 2019-03-20. Introduction to Algebraic Geometry available in PDF, EPUB and Kindle. Author Serge Lang defines algebraic geometry as the study of systems of algebraic equations in several variables and of the structure that one can give to the solutions of such equations. The study can be carried out in four ways: analytical, topological, algebraico-geometric, and arithmetic. This volume offers a rapid, concise, and self-contained introductory approach to the algebraic aspects of the third method, the algebraico-geometric. The treatment assumes only familiarity with elementary algebra up to the level of Galois theory. Starting with an opening chapter on the general theory of places, the author advances to examinations of algebraic varieties, the absolute theory of varieties, and products, projections, and correspondences. Subsequent chapters explore normal varieties, divisors and linear systems, differential forms, the theory of simple points, and algebraic groups, concluding with a focus on the Riemann-Roch theorem. All the theorems of a general nature related to the foundations of the theory of algebraic groups are featured.

Algebraic Groups

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Release : 2017-09-21
Genre : Mathematics
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Book Rating : 485/5 ( reviews)

Algebraic Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Groups write by J. S. Milne. This book was released on 2017-09-21. Algebraic Groups available in PDF, EPUB and Kindle. Comprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.

Introduction to Representation Theory

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Author :
Release : 2011
Genre : Mathematics
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Book Rating : 511/5 ( reviews)

Introduction to Representation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Representation Theory write by Pavel I. Etingof. This book was released on 2011. Introduction to Representation Theory available in PDF, EPUB and Kindle. Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.