Classical Lie Algebras at Infinity
English | 2022 | ISBN: 3030896595 | 245 Pages | PDF | 3 MB
Originating from graduate topics courses given by the first author, this book functions as a unique text-monograph hybrid that bridges a traditional graduate course to research level representation theory. The exposition includes an introduction to the subject, some highlights of the theory and recent results in the field, and is therefore appropriate for advanced graduate students entering the field as well as research mathematicians wishing to expand their knowledge. The mathematical background required varies from chapter to chapter, but a standard course on Lie algebras and their representations, along with some knowledge of homological algebra, is necessary. Basic algebraic geometry and sheaf cohomology are needed for Chapter 10. Exercises of various levels of difficulty are interlaced throughout the text to add depth to topical comprehension.

English | 2021 | ISBN: 3110565579 | 542 pages | True PDF | 5.79 MB
The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics.

English | 2022 | ISBN: 1789450187 , 978-1789450187 | 336 pages | True PDF | 4.03 MB
This book is part ofAlgebra and Geometry, a subject within the SCIENCES collection published by ISTE and Wiley, and the second of three volumes specifically focusing on algebra and its applications. Algebra and Applications 2 centers on the increasing role played by combinatorial algebra and Hopf algebras, including an overview of the basic theories on non-associative algebras, operads and (combinatorial) Hopf algebras.

English | 2021 | ISBN: 1789450179 | 369 pages | True PDF EPUB | 18.14 MB
This book is part of Algebra and Geometry, a subject within the SCIENCES collection published by ISTE and Wiley, and the first of three volumes specifically focusing on algebra and its applications. Algebra and Applications 1 centers on non-associative algebras and includes an introduction to derived categories. The chapters are written by recognized experts in the field, providing insight into new trends, as well as a comprehensive introduction to the theory. The book incorporates self-contained surveys with the main results, applications and perspectives. The chapters in this volume cover a wide variety of algebraic structures and their related topics. Jordan superalgebras, Lie algebras, composition algebras, graded division algebras, non-associative C*- algebras, H*-algebras, Krichever-Novikov type algebras, preLie algebras and related structures, geometric structures on 3-Lie algebras and derived categories are all explored. Algebra and Applications 1 is of great interest to graduate students and researchers.

English | 2021 | ISBN: 1032079886 | 231 pages | pdf | 3.5 MB
Noncommutative Polynomial Algebras of Solvable Type and Their Modulesis the first book to systematically introduce the basic constructive-computational theory and methods developed for investigating solvable polynomial algebras and their modules. In doing so, this book covers:

Zero Product Determined Algebras
English | 2021 | ISBN: 3030802418 | 186 Pages | PDF EPUB | 6 MB
This book provides a concise survey of the theory of zero product-determined algebras, which has been developed over the last 15 years. It is divided into three parts. The first part presents the purely algebraic branch of the theory, the second part presents the functional analytic branch, and the third part discusses various applications.

Structure and Representation of Jordan Algebras
pdf | 39.4 MB | English | Isbn:‎ 978-0821846407 | Author: Nathan Jacobson | Year: 1968

Algebras, Rings and Modules: Volume 2 by Michiel Hazewinkel
English | PDF | 2007 | 405 Pages | ISBN : 1402051409 | 5.7 MB
This second volume of this text covers the classical aspects of the theory of groups and their representations. It also offers a general introduction to the modern theory of representations including the representations of quivers and finite partially ordered sets and their applications to finite dimensional algebras. It reviews key recent developments in the theory of special ring classes including Frobenius, quasi-Frobenius, and others.

A Taste of Jordan Algebras K McCrimmon Springer
pdf | 2.67 MB | English | Isbn:‎ 978-1441930033 | Author: Kevin McCrimmon | Year: 2004

Representations of Algebras, Geometry and Physics
by Igusa, Kiyoshi; Martsinkovsky, Alex; Todorov, Gordana
English | 2021 | ISBN: 9781470452308 | 252 pages | True PDF | 9.69 MB