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Polynomials and the mod 2 Steenrod Algebra

Author : Grant Walker
Publisher : Cambridge University Press
Page : 371 pages
File Size : 28,35 MB
Release : 2018
Category : Mathematics
ISBN : 1108414486

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

Polynomials and the mod 2 Steenrod Algebra

Author : Grant Walker (Mathematician)
Publisher : Cambridge University Press
Page : 381 pages
File Size : 49,96 MB
Release : 2018
Category : Polynomials
ISBN : 1108414451

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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.

Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2)

Author : Grant Walker
Publisher : Cambridge University Press
Page : 381 pages
File Size : 45,91 MB
Release : 2017-11-09
Category : Mathematics
ISBN : 1108355927

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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.

Polynomials and the Mod 2 Steenrod Algebra

Author : Grant Walker
Publisher : London Mathematical Society Le
Page : 0 pages
File Size : 48,83 MB
Release : 2018
Category : Mathematics
ISBN : 9781108414067

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

Facets of Algebraic Geometry: Volume 2

Author : Paolo Aluffi
Publisher : Cambridge University Press
Page : 396 pages
File Size : 34,39 MB
Release : 2022-04-07
Category : Mathematics
ISBN : 1108890547

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Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the second of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.

Modern Trends in Algebra and Representation Theory

Author : David Jordan
Publisher : Cambridge University Press
Page : 407 pages
File Size : 41,67 MB
Release : 2023-08-17
Category : Mathematics
ISBN : 1009097350

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Expanding upon the material delivered during the LMS Autumn Algebra School 2020, this volume reflects the fruitful connections between different aspects of representation theory. Each survey article addresses a specific subject from a modern angle, beginning with an exploration of the representation theory of associative algebras, followed by the coverage of important developments in Lie theory in the past two decades, before the final sections introduce the reader to three strikingly different aspects of group theory. Written at a level suitable for graduate students and researchers in related fields, this book provides pure mathematicians with a springboard into the vast and growing literature in each area.

Equivariant Topology and Derived Algebra

Author : Scott Balchin
Publisher : Cambridge University Press
Page : 357 pages
File Size : 33,21 MB
Release : 2021-11-18
Category : Mathematics
ISBN : 1108931944

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A collection of research papers, both new and expository, based on the interests of Professor J. P. C. Greenlees.