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#### 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...

#### 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...

#### Automorphic Forms and Lie Superalgebras

Springer Netherlands 2007; US$ 139.00A 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...

#### Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras

World Scientific Publishing Company 2013; US$ 29.00The first edition of this book is a collection of a series of lectures given by Professor Victor Kac at the TIFR, Mumbai, India in December 1985 and January 1986. These lectures focus on the idea of a highest weight representation, which goes through four different incarnations. The first is the canonical commutation relations of the infinite dimensional... more...

#### Classifying the Absolute Toral Rank Two Case

De Gruyter 2009; 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...

#### Developments and Trends in Infinite-Dimensional Lie Theory

Birkhäuser Boston 2010; US$ 179.00This collection of invited expository papers focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics. more...

#### Highest Weight Representations of Infinite Dimensional Lie Algebra

World Scientific Publishing Company 1988; US$ 42.00This book is a collection of a series of lectures given by Prof. V Kac at Tata Institute, India in Dec '85 and Jan '86. These lectures focus on the idea of a highest weight representation, which goes through four different incarnations.The first is the canonical commutation relations of the infinite-dimensional Heisenberg Algebra (= oscillator... more...

#### Infinite-Dimensional Lie Algebras

Cambridge University Press 1994; US$ 52.00This is the third, substantially revised edition of this important monograph and graduate text. more...