Classical Hopf Algebras and Their Applications

Pierre Cartier, Frédéric Patras

• Paperback | Engels | Algebra and Applications | nr. 29
• This book is dedicated to the structure and combinatorics of classical Hopf algebras. Its main focus is on commutative and cocommutative Hopf algebras... Lees meer

Cohomology Rings of Finite Groups

Jon F Carlson, L Townsley, Luís Valero-Elizondo, Mucheng Zhang

• Hardcover | Engels | Algebra and Applications | nr. 3
• Group cohomology has a rich history that goes back a century or more. Its origins are rooted in investigations of group theory and num- ber theory, an... Lees meer

Representations of Algebras

José-Antonio de la Peña

• Hardcover | Engels | Algebra and Applications | nr. 30
• 1 Introduction and First Examples.- 2 A Categorical Approach.- 3 Constructive Methods.- 4 Spectral Methods in Representation Theory.- 5 Group Actions ... Lees meer

Rigid Cohomology Over Laurent Series Fields

Christopher Lazda, Ambrus Pál

• Hardcover | Engels | Algebra and Applications | nr. 21
• In this monograph, the authors develop a new theory of p -adic cohomology for varieties over Laurent series fields in positive characteristic, based o... Lees meer

Foundations of Commutative Rings and Their Modules

Fanggui Wang, Hwankoo Kim

• Hardcover | Engels | Algebra and Applications | nr. 31
• Chapter 6 goes on to present w-modules over commutative rings, as they are most commonly used in torsion theory and multiplicative ideal theory. Lees meer

Formal Matrices

Piotr Krylov, Askar Tuganbaev

• Hardcover | Engels | Algebra and Applications | nr. 23
• This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the... Lees meer

Topics in Geometry, Coding Theory and Cryptography

• Hardcover | Engels | Algebra and Applications | nr. 6
• The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry co... Lees meer

A Handbook of Model Categories

Scott Balchin

• Paperback | Engels | Algebra and Applications | nr. 27
• This book outlines a vast array of techniques and methods regarding model categories, without focussing on the intricacies of the proofs. Quillen mode... Lees meer

On Normalized Integral Table Algebras (Fusion Rings)

Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk

• Paperback | Engels | Algebra and Applications | nr. 16
• The theory of table algebras was introduced in 1991 by Z. Arad and H. Blau in order to treat, in a uniform way, products of conjugacy classes and irre... Lees meer

Representations of Hecke Algebras at Roots of Unity

Meinolf Geck, Nicolas Jacon

• Hardcover | Engels | Algebra and Applications | nr. 15
• Generic Iwahori-Hecke algebras.- Kazhdan-Lusztig cells and cellular bases.- Specialisations and decomposition maps.- Hecke algebras and finite groups ... Lees meer

Representations of Sl2(fq)

Cédric Bonnafé

• Hardcover | Engels | Algebra and Applications | nr. 13
• Deligne-Lusztig theory aims to study representations of finite reductive groups by means of geometric methods, and particularly l-adic cohomology. Man... Lees meer

Graded Syzygies

Irena Peeva

• Paperback | Engels | Algebra and Applications | nr. 14
• The study of free resolutions is a core and beautiful area in Commutative Algebra. The main goal of this book is to inspire the readers and develop th... Lees meer

Endomorphism Rings of Abelian Groups

P a Krylov, Alexander V Mikhalev, A a Tuganbaev

• Hardcover | Engels | Algebra and Applications | nr. 2
• Every Abelian group can be related to an associative ring with an identity element, the ring of all its endomorphisms. Recently the theory of endomor-... Lees meer

Quadratic Forms

Michael Barot, Jesús Arturo Jiménez González, José-Antonio de la Peña

• Hardcover | Engels | Algebra and Applications | nr. 25
• This monograph presents combinatorial and numerical issues on integral quadratic forms as originally obtained in the context of representation theory ... Lees meer

Representation Theory

Alexander Zimmermann

• Hardcover | Engels | Algebra and Applications | nr. 19
• Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers th... Lees meer

Classical Hopf Algebras and Their Applications

Pierre Cartier, Frédéric Patras

• Hardcover | Engels | Algebra and Applications | nr. 29
• This book is dedicated to the structure and combinatorics of classical Hopf algebras. Its main focus is on commutative and cocommutative Hopf algebras... Lees meer

Difference Algebra

Alexander Levin

• Hardcover | Engels | Algebra and Applications | nr. 8
• Difference algebra grew out of the study of algebraic difference equations with coefficients from functional fields. The first stage of this developme... Lees meer

Classical Finite Transformation Semigroups

Olexandr Ganyushkin, Volodymyr Mazorchuk

• Hardcover | Engels | Algebra and Applications | nr. 9
• The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on ... Lees meer

Skew Pbw Extensions

William Fajardo, Claudia Gallego, Oswaldo Lezama, Armando Reyes, Héctor Suárez, Helbert Venegas

• Hardcover | Engels | Algebra and Applications | nr. 28
• This monograph is devoted to a new class of non-commutative rings, skew Poincaré-Birkhoff-Witt (PBW) extensions. Beginning with the basic definitions ... Lees meer

An Introduction to Group Rings

César Polcino Milies, S K Sehgal

• Paperback | Engels | Algebra and Applications | nr. 1
• to Group Rings by Cesar Polcino Milies Instituto de Matematica e Estatistica, Universidade de sao Paulo, sao Paulo, Brasil and Sudarshan K. Sehgal Dep... Lees meer

Formal Matrices

Piotr Krylov, Askar Tuganbaev

• Paperback | Engels | Algebra and Applications | nr. 23
• This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the... Lees meer

Representation Theory

Alexander Zimmermann

• Paperback | Engels | Algebra and Applications | nr. 19
• Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers th... Lees meer

The Local Structure of Algebraic K-Theory

Bjørn Ian Dundas, Thomas G Goodwillie, Randy McCarthy

• Hardcover | Engels | Algebra and Applications | nr. 18
• The usefulness of this theorem stems from being more accessible for calculations than K-theory, and hence a single calculation of K-theory can be used... Lees meer

Syzygies and Homotopy Theory

F E a Johnson

• Paperback | Engels | Algebra and Applications | nr. 17
• The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well researched a... Lees meer