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Quaternion Algebras

This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with;

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Quaternion Algebras

This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with;

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Periods of Quaternionic Shimura Varieties. I.

This book formulates a new conjecture about quadratic periods of automorphic forms on quaternion algebras, which is an integral refinement;

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An Introduction to Central Simple Algebras and Their Applications to Wireless Communication

include quaternion algebras, splitting fields, the Skolem-Noether Theorem, the Brauer group, crossed products, cyclic algebras and algebras with a;

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Quadrangular Algebras. (MN-46)

This book introduces a new class of non-associative algebras related to certain exceptional algebraic groups and their associated buildings;

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Modular Forms

groups of quaternion algebras, rarely dealt with in books; and in the last chapter, Eisenstein series with parameter are discussed following the;

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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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Algebra II

areas of mathemat ics. Historically however, the study of matrix algebras was preceded by the discovery of quatemions which, introduced in 1843;

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Rethinking Quaternions

Quaternion multiplication can be used to rotate vectors in three-dimensions. Therefore, in computer graphics, quaternions have three;

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Quaternion Unified SuperStandard Theory (The QUeST) and Megaverse Octonion SuperStandard Theory (MOST)

Quaternion and Octonion based Unified SuperStandard Theory;

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Quaternion Matrix Computations

In this monograph, the authors describe state-of-the-art real structure-preserving algorithms for quaternion matrix computations;

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Quaternion Physics

A collection of Writings on Physics and its advancement through Quaternion mathematics. Unifying Quantum and Relativity Theory through the;

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Why is the Universe Real? From Quaternion & Octonion to Real Coordinates

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Beneath the Quaternion Universe

Study of deeper roots of QUeST and MOST.;...

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Quaternion Fourier Transforms for Signal and Image Processing

results pertaining to Quaternion Fourier Transforms. QFT is a central component of processing color images and complex valued signals. The book s;

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Leibniz Algebras

Leibniz Algebras: Structure and Classification is designed to introduce the reader to the theory of Leibniz algebras. Leibniz algebra;

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Leibniz Algebras

Leibniz Algebras: Structure and Classification is designed to introduce the reader to the theory of Leibniz algebras. Leibniz algebra;

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Banach Algebras and the General Theory of Algebras

general Banach *-algebras. The author emphasizes the roles of *-algebra structure and explores the algebraic results which underlie the theory;

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Real Operator Algebras

The theory of operator algebras is generally considered over the field of complex numbers and in the complex Hilbert spaces. So it is a;

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Hopf Algebra

This study covers comodules, rational modules and bicomodules; cosemisimple, semiperfect and co-Frobenius algebras; bialgebras and Hopf;

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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

This volume collects chapters that examine representation theory as connected with affine Lie algebras and their quantum analogues;

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Classical Hopf Algebras and Their Applications

This book is dedicated to the structure and combinatorics of classical Hopf algebras. Its main focus is on commutative and cocommutative;

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Tensor Categories and Hopf Algebras

This volume contains the proceedings of the scientific session ``Hopf Algebras and Tensor Categories'', held from July 27-28, 2017, at the;

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New Directions in Hopf Algebras

Hopf algebras have important connections to quantum theory, Lie algebras, knot and braid theory, operator algebras and other areas;

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Ultrametric Banach Algebras

In this book, ultrametric Banach algebras are studied with the help of topological considerations, properties from affinoid algebras, and;

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Quaternion Cosmos

Truth is Beauty and Beauty is Truth. A Four dimensional Theory of Physics for the Four Dimensional C;...

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Introduction to Finite and Infinite Dimensional Lie (Super)algebras

Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and;

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