Polynomials and the mod 2 Steenrod Algebra PDF Download
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Author: Grant Walker
Publisher: Cambridge University Press
ISBN: 1108414486
Category : Mathematics
Languages : en
Pages : 371
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Book Description
The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.
Author: Grant Walker
Publisher: Cambridge University Press
ISBN: 1108414486
Category : Mathematics
Languages : en
Pages : 371
Get Book Here
Book Description
The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.
Author: Grant Walker (Mathematician)
Publisher:
ISBN:
Category : Polynomials
Languages : en
Pages :
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Book Description
Author: Grant Walker (Mathematician)
Publisher: Cambridge University Press
ISBN: 1108414451
Category : Polynomials
Languages : en
Pages : 381
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Book Description
This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n,F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.
Author: Grant Walker
Publisher: Cambridge University Press
ISBN: 1108355927
Category : Mathematics
Languages : en
Pages : 381
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Book Description
This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's `hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n, F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.
Author: Grant Walker
Publisher: London Mathematical Society Le
ISBN: 9781108414067
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Two volumes detailing Steenrod algebra and its applications, with background material. Ideal for researchers in pure mathematics.
Author: Grant Walker (Mathematician)
Publisher:
ISBN:
Category : Polynomials
Languages : en
Pages :
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Book Description
Author: Dagmar M. Meyer
Publisher:
ISBN:
Category :
Languages : en
Pages : 30
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Book Description
Author: Ali Sarbaz Janfada
Publisher:
ISBN:
Category :
Languages : en
Pages : 84
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Book Description
Author: Douglas C. Ravenel
Publisher: American Mathematical Soc.
ISBN: 082182967X
Category : Mathematics
Languages : en
Pages : 418
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Book Description
Since the publication of its first edition, this book has served as one of the few available on the classical Adams spectral sequence, and is the best account on the Adams-Novikov spectral sequence. This new edition has been updated in many places, especially the final chapter, which has been completely rewritten with an eye toward future research in the field. It remains the definitive reference on the stable homotopy groups of spheres. The first three chapters introduce the homotopy groups of spheres and take the reader from the classical results in the field though the computational aspects of the classical Adams spectral sequence and its modifications, which are the main tools topologists have to investigate the homotopy groups of spheres. Nowadays, the most efficient tools are the Brown-Peterson theory, the Adams-Novikov spectral sequence, and the chromatic spectral sequence, a device for analyzing the global structure of the stable homotopy groups of spheres and relating them to the cohomology of the Morava stabilizer groups. These topics are described in detail in Chapters 4 to 6. The revamped Chapter 7 is the computational payoff of the book, yielding a lot of information about the stable homotopy group of spheres. Appendices follow, giving self-contained accounts of the theory of formal group laws and the homological algebra associated with Hopf algebras and Hopf algebroids. The book is intended for anyone wishing to study computational stable homotopy theory. It is accessible to graduate students with a knowledge of algebraic topology and recommended to anyone wishing to venture into the frontiers of the subject.
Author: Haynes R Miller
Publisher: World Scientific
ISBN: 9811231265
Category : Mathematics
Languages : en
Pages : 405
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Book Description
Algebraic Topology and basic homotopy theory form a fundamental building block for much of modern mathematics. These lecture notes represent a culmination of many years of leading a two-semester course in this subject at MIT. The style is engaging and student-friendly, but precise. Every lecture is accompanied by exercises. It begins slowly in order to gather up students with a variety of backgrounds, but gains pace as the course progresses, and by the end the student has a command of all the basic techniques of classical homotopy theory.
