Polynomials And The Mod 2 Steenrod Algebra Volume 2 Representations Of Gl N F2

Author : Grant Walker,Reginald M. W. Wood
Publisher : Cambridge University Press
Page : 381 pages
File Size : 42,6 Mb
Release : 2017-11-09
Category : Mathematics
ISBN : 9781108355926

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Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2) by Grant Walker,Reginald M. W. Wood Pdf

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,Reginald M. W. Wood
Publisher : Cambridge University Press
Page : 381 pages
File Size : 45,9 Mb
Release : 2017-11-09
Category : Mathematics
ISBN : 9781108414456

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Polynomials and the mod 2 Steenrod Algebra by Grant Walker,Reginald M. W. Wood Pdf

The second of two volumes covering the Steenrod algebra and its various applications. Ideal for researchers in pure mathematics.

Author : Grant Walker (Mathematician),Reginald M. W. Wood
Publisher : Unknown
Page : 128 pages
File Size : 45,9 Mb
Release : 2018
Category : Polynomials
ISBN : OCLC:1015730861

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Polynomials and the Mod 2 Steenrod Algebra: Representations of GL(n,F2) by Grant Walker (Mathematician),Reginald M. W. Wood Pdf

Author : Grant Walker,Reginald M. W. Wood
Publisher : Cambridge University Press
Page : 372 pages
File Size : 44,6 Mb
Release : 2017-11-09
Category : Mathematics
ISBN : 9781108359290

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Polynomials and the mod 2 Steenrod Algebra: Volume 1, The Peterson Hit Problem by Grant Walker,Reginald M. W. Wood Pdf

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,Reginald M. W. Wood
Publisher : Cambridge University Press
Page : 371 pages
File Size : 45,6 Mb
Release : 2017-11-09
Category : Mathematics
ISBN : 9781108414487

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Polynomials and the mod 2 Steenrod Algebra by Grant Walker,Reginald M. W. Wood Pdf

The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.

Author : Grant Walker,Reginald M. W. Wood
Publisher : London Mathematical Society Le
Page : 0 pages
File Size : 52,5 Mb
Release : 2018
Category : Mathematics
ISBN : 1108414060

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Polynomials and the Mod 2 Steenrod Algebra by Grant Walker,Reginald M. W. Wood Pdf

Two volumes detailing Steenrod algebra and its applications, with background material. Ideal for researchers in pure mathematics.

Author : Grant Walker (Mathematician),Reginald M. W. Wood
Publisher : Unknown
Page : 128 pages
File Size : 47,6 Mb
Release : 2018
Category : Polynomials
ISBN : OCLC:1015730861

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Polynomials and the Mod 2 Steenrod Algebra: The Peterson hit problem by Grant Walker (Mathematician),Reginald M. W. Wood Pdf

Author : James A. Green
Publisher : Springer
Page : 124 pages
File Size : 40,6 Mb
Release : 2008-07-15
Category : Mathematics
ISBN : 9783540383796

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Polynomial Representations of GL_n by James A. Green Pdf

The new corrected and expanded edition adds a special appendix on Schensted Correspondence and Littelmann Paths. This appendix can be read independently of the rest of the volume and is an account of the Littelmann path model for the case gln. The appendix also offers complete proofs of classical theorems of Schensted and Knuth.

Author : James A. Green
Publisher : Springer Science & Business Media
Page : 167 pages
File Size : 52,5 Mb
Release : 2006-11-30
Category : Mathematics
ISBN : 9783540469445

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Polynomial Representations of GL_n by James A. Green Pdf

The new corrected and expanded edition adds a special appendix on Schensted Correspondence and Littelmann Paths. This appendix can be read independently of the rest of the volume and is an account of the Littelmann path model for the case gln. The appendix also offers complete proofs of classical theorems of Schensted and Knuth.

Author : Anonim
Publisher : Unknown
Page : 676 pages
File Size : 47,9 Mb
Release : 1994
Category : Mathematics
ISBN : UOM:39015051367640

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Mathematical Reviews by Anonim Pdf

Author : Robert E. Mosher,Martin C. Tangora
Publisher : Courier Corporation
Page : 226 pages
File Size : 41,7 Mb
Release : 2008-01-01
Category : Mathematics
ISBN : 9780486466644

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Cohomology Operations and Applications in Homotopy Theory by Robert E. Mosher,Martin C. Tangora Pdf

Cohomology operations are at the center of a major area of activity in algebraic topology. This treatment explores the single most important variety of operations, the Steenrod squares. It constructs these operations, proves their major properties, and provides numerous applications, including several different techniques of homotopy theory useful for computation. 1968 edition.

Author : John Willard Milnor,James D. Stasheff
Publisher : Princeton University Press
Page : 342 pages
File Size : 49,5 Mb
Release : 1974
Category : Mathematics
ISBN : 0691081220

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Characteristic Classes by John Willard Milnor,James D. Stasheff Pdf

The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers. Based on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied by graduate students of topology ever since, this published version has been completely revised and corrected.

Author : Pavel I. Etingof,Oleg Golberg,Sebastian Hensel ,Tiankai Liu ,Alex Schwendner ,Dmitry Vaintrob ,Elena Yudovina
Publisher : American Mathematical Soc.
Page : 240 pages
File Size : 41,8 Mb
Release : 2011
Category : Mathematics
ISBN : 9780821853511

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Introduction to Representation Theory by Pavel I. Etingof,Oleg Golberg,Sebastian Hensel ,Tiankai Liu ,Alex Schwendner ,Dmitry Vaintrob ,Elena Yudovina Pdf

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.

Author : John Willard Milnor
Publisher : Unknown
Page : 326 pages
File Size : 51,9 Mb
Release : 1959
Category : Topology
ISBN : UOM:39015095249416

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The Theory of Characteristic Classes by John Willard Milnor Pdf

Author : J. P. May
Publisher : University of Chicago Press
Page : 262 pages
File Size : 45,7 Mb
Release : 1999-09
Category : Mathematics
ISBN : 0226511839

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A Concise Course in Algebraic Topology by J. P. May Pdf

Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.