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Author : Grant Walker,Reginald M. W. Wood
Publisher : Cambridge University Press
Page : 381 pages
File Size : 41,9 Mb
Release : 2017-11-09
Category : Mathematics
ISBN : 9781108414456
The second of two volumes covering the Steenrod algebra and its various applications. Ideal for researchers in pure mathematics.
Author : Grant Walker,Reginald M. W. Wood
Publisher : Cambridge University Press
Page : 371 pages
File Size : 52,8 Mb
Release : 2017-11-09
Category : Mathematics
ISBN : 9781108414487
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 : Cambridge University Press
Page : 381 pages
File Size : 47,7 Mb
Release : 2017-11-09
Category : Mathematics
ISBN : 9781108355926
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 (Mathematician),Reginald M. W. Wood
Publisher : Unknown
Page : 128 pages
File Size : 51,7 Mb
Release : 2018
Category : Polynomials
ISBN : OCLC:1015730861
Author : Grant Walker (Mathematician),Reginald M. W. Wood
Publisher : Unknown
Page : 128 pages
File Size : 41,5 Mb
Release : 2018
Category : Polynomials
ISBN : OCLC:1015730861
Author : David Jordan,Nadia Mazza,Sibylle Schroll
Publisher : Cambridge University Press
Page : 407 pages
File Size : 48,5 Mb
Release : 2023-08-17
Category : Mathematics
ISBN : 9781009097352
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.
Author : Scott Balchin,David Barnes,Magdalena Kędziorek,Markus Szymik
Publisher : Cambridge University Press
Page : 357 pages
File Size : 47,9 Mb
Release : 2021-11-18
Category : Mathematics
ISBN : 9781108931946
A collection of research papers, both new and expository, based on the interests of Professor J. P. C. Greenlees.
Author : Alexander A. Ivanov
Publisher : Cambridge University Press
Page : 584 pages
File Size : 43,6 Mb
Release : 2023-08-17
Category : Mathematics
ISBN : 9781009338059
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.
Author : Kelli Francis-Staite,Dominic Joyce
Publisher : Cambridge University Press
Page : 224 pages
File Size : 54,7 Mb
Release : 2023-12-31
Category : Mathematics
ISBN : 9781009400206
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.
Author : Paolo Aluffi,David Anderson,Milena Hering,Mircea Mustaţă,Sam Payne
Publisher : Cambridge University Press
Page : 417 pages
File Size : 43,6 Mb
Release : 2022-04-07
Category : Mathematics
ISBN : 9781108792509
Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.
Author : Hamid Abban,Gavin Brown,Alexander Kasprzyk,Shigefumi Mori
Publisher : Cambridge University Press
Page : 368 pages
File Size : 49,8 Mb
Release : 2022-09-30
Category : Mathematics
ISBN : 9781009190824
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.
Author : Vladimir Dotsenko,Sergey Shadrin,Bruno Vallette
Publisher : Cambridge University Press
Page : 187 pages
File Size : 51,7 Mb
Release : 2023-08-31
Category : Mathematics
ISBN : 9781108965644
Covering an exceptional range of topics, this text provides a unique overview of the Maurer-Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a new conceptual treatment of the twisting procedure, guiding the reader through various versions with the help of plentiful motivating examples for graduate students as well as researchers. Topics covered include a novel approach to the twisting procedure for operads leading to Kontsevich graph homology and a description of the twisting procedure for (homotopy) associative algebras or (homotopy) Lie algebras using the biggest deformation gauge group ever considered. The book concludes with concise surveys of recent applications in areas including higher category theory and deformation theory.
Author : Aurelian Gheondea
Publisher : Cambridge University Press
Page : 128 pages
File Size : 55,6 Mb
Release : 2022-07-28
Category : Mathematics
ISBN : 9781108981279
This modern introduction to operator theory on spaces with indefinite inner product discusses the geometry and the spectral theory of linear operators on these spaces, the deep interplay with complex analysis, and applications to interpolation problems. The text covers the key results from the last four decades in a readable way with full proofs provided throughout. Step by step, the reader is guided through the intricate geometry and topology of spaces with indefinite inner product, before progressing to a presentation of the geometry and spectral theory on these spaces. The author carefully highlights where difficulties arise and what tools are available to overcome them. With generous background material included in the appendices, this text is an excellent resource for researchers in operator theory, functional analysis, and related areas as well as for graduate students.
Author : Felix Fischer,Robert Johnson
Publisher : Cambridge University Press
Page : 305 pages
File Size : 51,7 Mb
Release : 2024-06-13
Category : Mathematics
ISBN : 9781009490535
This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.
Author : Anthony Nixon,Sean Prendiville
Publisher : Cambridge University Press
Page : 257 pages
File Size : 41,5 Mb
Release : 2022-06-09
Category : Mathematics
ISBN : 9781009096225
This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.
