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#### Studies in Lie Theory

Springer 2006; US$ 199.00Dedicated to Anthony Joseph, this volume contains surveys and invited articles by leading specialists in representation theory. The focus here is on semisimple Lie algebras and quantum groups, where the impact of Joseph's work has been seminal and has changed the face of the subject. Two introductory biographical overviews of Joseph's contributions... more...

#### Lie Algebras and Algebraic Groups

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 119.00The theory of Lie algebras and algebraic groups has been an area of active research for the last 50 years. It intervenes in many different areas of mathematics: for example invariant theory, Poisson geometry, harmonic analysis, mathematical physics. The aim of this book is to assemble in a single volume the algebraic aspects of the theory, so as to... 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...

#### Highlights in Lie Algebraic Methods

Springer 2011; US$ 119.00This volume consists of expository and research articles that highlight the various Lie algebraic methods used in mathematical research today. Key topics discussed include spherical varieties, Littelmann Paths and Kac-Moody Lie algebras, modular representations, primitive ideals, representation theory of Artin algebras and quivers, Kac-Moody superalgebras,... more...

#### Non-Associative Algebra and Its Applications

CRC Press 2006; US$ 231.00With 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...

#### 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...

#### Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces

Springer 2004; US$ 139.00This book describes a new and original formalism based on mirror symmetries of Lie groups, Lie algebras and Homogeneous spaces. Special systems of mirrors are used for classification purposes and as an instrument for studies of Homogeneous spaces. Tri-symmetric and arbitrary Riemannian Homogeneous spaces can also be researched in this way. The book... 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...

#### Structure Theory

De Gruyter 2004; US$ 238.00The 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 35 years has been directed by the Kostrikin?Shafarevich Conjecture of 1966, which states that over an algebraically closed field of characteristic p > 5 a finite-dimensional... more...