Polynomials And The Mod 2 Steenrod Algebra
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Polynomials And The Mod 2 Steenrod Algebra
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Author : Grant Walker (Mathematician)
language : en
Publisher: Cambridge University Press
Release Date : 2018
Polynomials And The Mod 2 Steenrod Algebra written by Grant Walker (Mathematician) and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Polynomials categories.
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
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Author : Grant Walker
language : en
Publisher: Cambridge University Press
Release Date : 2018
Polynomials And The Mod 2 Steenrod Algebra written by Grant Walker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
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 Volume 2 Representations Of Gl N F2
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Author : Grant Walker
language : en
Publisher: Cambridge University Press
Release Date : 2017-11-09
Polynomials And The Mod 2 Steenrod Algebra Volume 2 Representations Of Gl N F2 written by Grant Walker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-09 with Mathematics categories.
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 Representations Of Gl N F2
DOWNLOAD
Author : Grant Walker (Mathematician)
language : en
Publisher:
Release Date : 2018
Polynomials And The Mod 2 Steenrod Algebra Representations Of Gl N F2 written by Grant Walker (Mathematician) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Polynomials categories.
Modern Trends In Algebra And Representation Theory
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Author : David Jordan
language : en
Publisher: Cambridge University Press
Release Date : 2023-08-17
Modern Trends In Algebra And Representation Theory written by David Jordan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-17 with Mathematics categories.
Aimed at graduate students and non-experts, this text gives a guided tour of modern developments in algebra and representation theory.
Equivariant Topology And Derived Algebra
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Author : Scott Balchin
language : en
Publisher: Cambridge University Press
Release Date : 2022
Equivariant Topology And Derived Algebra written by Scott Balchin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Mathematics categories.
A collection of research papers, both new and expository, based on the interests of Professor J. P. C. Greenlees.
Algebraic Combinatorics And The Monster Group
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Author : Alexander A. Ivanov
language : en
Publisher: Cambridge University Press
Release Date : 2023-08-17
Algebraic Combinatorics And The Monster Group written by Alexander A. Ivanov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-17 with Mathematics categories.
Covering, arguably, one of the most attractive and mysterious mathematical objects, the Monster group, this text strives to provide an insightful introduction and the discusses the current state of the field. The Monster group is related to many areas of mathematics, as well as physics, from number theory to string theory. This book cuts through the complex nature of the field, highlighting some of the mysteries and intricate relationships involved. Containing many meaningful examples and a manual introduction to the computer package GAP, it provides the opportunity and resources for readers to start their own calculations. Some 20 experts here share their expertise spanning this exciting field, and the resulting volume is ideal for researchers and graduate students working in Combinatorial Algebra, Group theory and related areas.
C Algebraic Geometry With Corners
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Author : Kelli Francis-Staite
language : en
Publisher: Cambridge University Press
Release Date : 2024-01-04
C Algebraic Geometry With Corners written by Kelli Francis-Staite and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-04 with Mathematics categories.
Schemes in algebraic geometry can have singular points, whereas differential geometers typically focus on manifolds which are nonsingular. However, there is a class of schemes, 'C∞-schemes', which allow differential geometers to study a huge range of singular spaces, including 'infinitesimals' and infinite-dimensional spaces. These are applied in synthetic differential geometry, and derived differential geometry, the study of 'derived manifolds'. Differential geometers also study manifolds with corners. The cube is a 3-dimensional manifold with corners, with boundary the six square faces. This book introduces 'C∞-schemes with corners', singular spaces in differential geometry with good notions of boundary and corners. They can be used to define 'derived manifolds with corners' and 'derived orbifolds with corners'. These have applications to major areas of symplectic geometry involving moduli spaces of J-holomorphic curves. This work will be a welcome source of information and inspiration for graduate students and researchers working in differential or algebraic geometry.
Facets Of Algebraic Geometry
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Author : Paolo Aluffi
language : en
Publisher: Cambridge University Press
Release Date : 2022-04-07
Facets Of Algebraic Geometry written by Paolo Aluffi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-07 with Mathematics categories.
Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.
Recent Developments In Algebraic Geometry
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Author : Hamid Abban
language : en
Publisher: Cambridge University Press
Release Date : 2022-11-03
Recent Developments In Algebraic Geometry written by Hamid Abban and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-03 with Mathematics categories.
Written in celebration of Miles Reid's 70th birthday, this illuminating volume contains 11 papers by leading mathematicians in and around algebraic geometry, broadly related to the themes and interests of Reid's varied career. Just as in Reid's own scientific output, some of the papers give comprehensive accounts of the state of the art of foundational matters, while others give expositions of subject areas or techniques in concrete terms. Reid has been one of the major expositors of algebraic geometry and a great influence on many in this field – this book hopes to inspire a new generation of graduate students and researchers in his tradition.