Introduction to Coalgebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Coalgebra write by Bart Jacobs. This book was released on 2017. Introduction to Coalgebra available in PDF, EPUB and Kindle. An accessible introduction to coalgebra, with clear mathematical explanations and numerous examples and exercises.
Universal Algebra and Coalgebra
Universal Algebra and Coalgebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Universal Algebra and Coalgebra write by Klaus Denecke. This book was released on 2009. Universal Algebra and Coalgebra available in PDF, EPUB and Kindle. The purpose of this book is to study the structures needed to model objects in universal algebra, universal coalgebra and theoretical computer science. Universal algebra is used to describe different kinds of algebraic structures, while coalgebras are used to model state-based machines in computer science.The connection between algebras and coalgebras provides a way to connect static data-oriented systems with dynamical behavior-oriented systems. Algebras are used to describe data types and coalgebras describe abstract systems or machines.The book presents a clear overview of the area, from which further study may proceed.
Hopf Algebra
Hopf Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hopf Algebra write by Sorin Dascalescu. This book was released on 2000-09-15. Hopf Algebra available in PDF, EPUB and Kindle. This study covers comodules, rational modules and bicomodules; cosemisimple, semiperfect and co-Frobenius algebras; bialgebras and Hopf algebras; actions and coactions of Hopf algebras on algebras; finite dimensional Hopf algebras, with the Nicholas-Zoeller and Taft-Wilson theorems and character theory; and more.
Hopf Algebras
Hopf Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hopf Algebras write by Jeffrey Bergen. This book was released on 2004-01-28. Hopf Algebras available in PDF, EPUB and Kindle. This volume publishes key proceedings from the recent International Conference on Hopf Algebras held at DePaul University, Chicago, Illinois. With contributions from leading researchers in the field, this collection deals with current topics ranging from categories of infinitesimal Hopf modules and bimodules to the construction of a Hopf algebraic Morita invariant. It uses the newly introduced theory of bi-Frobenius algebras to investigate a notion of group-like algebras and summarizes results on the classification of Hopf algebras of dimension pq. It also explores pre-Lie, dendriform, and Nichols algebras and discusses support cones for infinitesimal group schemes.
Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach
Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach write by L.A. Lambe. This book was released on 2013-11-22. Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach available in PDF, EPUB and Kindle. Chapter 1 The algebraic prerequisites for the book are covered here and in the appendix. This chapter should be used as reference material and should be consulted as needed. A systematic treatment of algebras, coalgebras, bialgebras, Hopf algebras, and represen tations of these objects to the extent needed for the book is given. The material here not specifically cited can be found for the most part in [Sweedler, 1969] in one form or another, with a few exceptions. A great deal of emphasis is placed on the coalgebra which is the dual of n x n matrices over a field. This is the most basic example of a coalgebra for our purposes and is at the heart of most algebraic constructions described in this book. We have found pointed bialgebras useful in connection with solving the quantum Yang-Baxter equation. For this reason we develop their theory in some detail. The class of examples described in Chapter 6 in connection with the quantum double consists of pointed Hopf algebras. We note the quantized enveloping algebras described Hopf algebras. Thus for many reasons pointed bialgebras are elsewhere are pointed of fundamental interest in the study of the quantum Yang-Baxter equation and objects quantum groups.
