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#### Non-Associative Algebra and Its Applications

CRC Press 2006; US$ 243.00With contributions derived from presentations at an international conference, Non-Associative Algebra and Its Applications explores a wide range of topics focusing on Lie algebras, nonassociative rings and algebras, quasigroups, loops, and related systems as well as applications of nonassociative algebra to geometry, physics, and natural sciences.... more...

#### Alternative Loop Rings

Elsevier Science 1996; US$ 215.00For the past ten years, alternative loop rings have intrigued mathematicians from a wide cross-section of modern algebra. As a consequence, the theory of alternative loop rings has grown tremendously. One of the main developments is the complete characterization of loops which have an alternative but not associative, loop ring. Furthermore, there is... more...

#### Computers in Nonassociative Rings and Algebras

Elsevier Science 2014; US$ 72.95Computers in Nonassociative Rings and Algebras provides information pertinent to the computational aspects of nonassociative rings and algebras. This book describes the algorithmic approaches for solving problems using a computer. Organized into 10 chapters, this book begins with an overview of the concept of a symmetrized power of a group representation.... more...

#### Lie Algebras of Finite and Affine Type

Cambridge University Press 2005; US$ 108.00This book provides a thorough but relaxed mathematical treatment of Lie algebras. more...

#### Lie Algebras and Algebraic Groups

Springer Berlin Heidelberg 2006; US$ 88.36The theory of groups and Lie algebras is interesting for many reasons. In the mathematical viewpoint, it employs at the same time algebra, analysis and geometry. On the other hand, it intervenes in other areas of science, in particularindi?erentbranchesofphysicsandchemistry.Itisanactivedomain of current research. Oneofthedi?cultiesthatgraduatestudentsormathematiciansinterested... more...

#### Structure Theory

De Gruyter 2008; US$ 252.00The problem of classifying the finite-dimensional simple Lie algebras over fields of characteristic p > 0 is a long-standing one. Work on this question during the last 45 years has been directed by the Kostrikinâ€“Shafarevich Conjecture of 1966, which states that over an algebraically closed field of characteristic p > 5 a finite-dimensional... more...

#### Lie Algebras: Theory and Algorithms

Elsevier Science 2000; US$ 175.00The aim of the present work is two-fold. Firstly it aims at a giving an account of many existing algorithms for calculating with finite-dimensional Lie algebras. Secondly, the book provides an introduction into the theory of finite-dimensional Lie algebras. These two subject areas are intimately related. First of all, the algorithmic perspective often... more...

#### Automorphic Forms and Lie Superalgebras

Springer Netherlands 2007; US$ 102.50A principal ingredient in the proof of the Moonshine Theorem, connecting the Monster group to modular forms, is the infinite dimensional Lie algebra of physical states of a chiral string on an orbifold of a 26 dimensional torus, called the Monster Lie algebra. It is a Borcherds-Kac-Moody Lie algebra with Lorentzian root lattice; and has an associated... more...

#### Naive Lie Theory

Springer New York 2008; US$ 43.38This book aims to fill a gap in the literature by introducing Lie theory to junior and senior level undergraduates. In order to achieve this, the author focuses on the so-called "classical groups,'' viewed as matrix groups with real, complex, or quaternion entries. This allows them to be studied by elementary methods from calculus and linear algebra.... more...

#### Classifying the Absolute Toral Rank Two Case

De Gruyter 2009; US$ 252.00The problem of classifying the finite-dimensional simple Lie algebras over fields of characteristic p > 0 is a long-standing one. Work on this question during the last 45 years has been directed by the Kostrikinâ€“Shafarevich Conjecture of 1966, which states that over an algebraically closed field of characteristic p > 5 a finite-dimensional... more...