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Exceptional Lie Algebras

field of real numbers. The models given are based on the algebras ofCayley numbers (octonions) and on exceptional Jordan algebras. They are also;

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Octonions, Jordan Algebras and Exceptional Groups

of those notes, completely updated and revised. The part of the book dealing with the algebraic structures is on a fairly elementary level;

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Quadrangular Algebras. (MN-46)

, exceptional algebraic groups, and related algebraic structures including Jordan algebras and the algebraic theory of quadratic forms.;

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On Quaternions and Octonions

This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive historical introduction, the book;

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Jordan Algebras and Algebraic Groups

From the reviews: This book presents an important and novel approach to Jordan algebras. [...] Springer's work will be of service to;

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Lie Groups and Lie Algebras - A Physicist's Perspective

of the unitary groups and the reduction of their Kronecker products. Following the presentation of Cartan's classification of semisimple algebras;

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Geometry Of The Octonions, The

. In addition, more sophisticated applications include the exceptional Lie groups, octonionic projective spaces, and applications to particle physics;

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Nonassociative Mathematics and its Applications

topics covered by nonassociative mathematics include quasigroups, loops, Latin squares, Lie algebras, Jordan algebras, octonions, racks, quandles;

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Groups and Manifolds

finite rotation groups and to simply laced simple Lie algebras. Unique features of this book are the full-fledged treatment of the exceptional;

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Jordan Structures in Lie Algebras

algebras and of Lie algebras and then focuses on properties of Jordan elements of special types. Then it proceeds to the core of the book, in which;

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Exceptional Lie Algebras

This book provides a set of models for the exceptional lie algebras over algebraically closed fields of characteristic 0 and over the;

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Introduction to Modern Algebra and Its Applications

of numbers, groups, rings, fields and finite dimensional algebras. The book also provides interesting and important modern applications in such;

Vergelijkbare producten zoals Introduction to Modern Algebra and Its Applications

Introduction to Modern Algebra and Its Applications

of numbers, groups, rings, fields and finite dimensional algebras. The book also provides interesting and important modern applications in such;

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Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification: In Honor of Vyjayanthi Chari on the Occasion of

for Jordan pairs Dynamical quantum determinants and Pfaffians Interactions of Quantum Affine Algebras with Cluster Algebras, Current;

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Moufang Sets and Structurable Division Algebras

is regular on the remaining vertices; these regular normal subgroups are called the root groups, and they are assumed to be conjugate and to generate;

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Clifford Algebras and the Classical Groups

The Clifford algebras of real quadratic forms and their complexifications are studied here in detail, and those parts which are immediately;

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Clifford Algebras and the Classical Groups

The Clifford algebras of real quadratic forms and their complexifications are studied here in detail, and those parts which are immediately;

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Groups, Rings, Group Rings, and Hopf Algebras

This volume contains the proceedings of the International Conference on Groups, Rings, Group Rings, and Hopf Algebras, held October 2-4;

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Representations of Lie Algebras, Quantum Groups and Related Topics

This volume contains the proceedings of the AMS Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, held;

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Hopf Algebras and Quantum Groups

This volume is based on the proceedings of the Hopf-Algebras and Quantum Groups conference at the Free University of Brussels, Belgium. It;

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Hopf Algebras and Quantum Groups

This volume is based on the proceedings of the Hopf-Algebras and Quantum Groups conference at the Free University of Brussels, Belgium. It;

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Quantum Groups

invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main;

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Representations Of Lie Algebras

This bold and refreshing approach to Lie algebras assumes only modest prerequisites (linear algebra up to the Jordan canonical form and a;

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Algebras and Representation Theory

of quivers. The book starts with basic topics on algebras and modules, covering fundamental results such as the Jordan-Hoelder theorem on composition;

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Affine Lie Algebras and Quantum Groups

This is an introduction to the theory of affine Lie algebras, to the theory of quantum groups, and to the interrelationships between these;

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Topological Geometry

tangent spaces and of Lie groups and Lie algebras. The calculus is presented as far as possible in basis free form to emphasize its geometrical;

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Non-Associative Algebra and Its Applications

range of topics focusing on Lie algebras, nonassociative rings and algebras, quasigroups, loops, and related systems as well as applications;

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