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Title of Journal: Adv Appl Clifford Algebras

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Abbravation: Advances in Applied Clifford Algebras

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Springer International Publishing

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DOI

10.1016/0305-4179(77)90016-X

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1661-4909

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The octonions form an Azumaya algebra in certain b

Authors: Tao Cheng HuaLin Huang Yuping Yang Yinhuo Zhang
Publish Date: 2016/03/23
Volume: 27, Issue: 2, Pages: 1055-1064
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Abstract

By applying the idea of viewing the octonions as an associative algebra in certain tensor categories or more precisely as a twisted group algebra by a 2cochain we show that the octonions form an Azumaya algebra in some suitable braided linear Grcategories

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  2. On Polynomial Solutions of Generalized Moisil-Théodoresco Systems and Hodge-de Rham Systems
  3. Geometric Algebra to Model Uncertainties in the Discretizable Molecular Distance Geometry Problem
  4. Half Dirichlet Problems and Decompositions of Poisson Kernels
  5. Differential Operators Associated to the Cauchy-Fueter Operator in Quaternion Algebra
  6. Properties of Solutions to A-Harmonic System and A-Dirac System
  7. Matrix Mechanics of the Relativistic Point Particle and String in Clifford Space
  8. Harmonic Forms on Conformal Euclidean Manifolds: The Clifford Multivector Approach
  9. Two Novel Algebraic Techniques for Quaternion Least Squares Problems in Quaternionic Quantum Mechanics
  10. Operator Identities in q -Deformed Clifford Analysis
  11. Inverse Kinematics for a 6-DOF Walking Humanoid Robot Leg
  12. (1,1)-Forms Acting on Spinors on Kähler Surfaces
  13. Multiplicative Representation of a Hyperbolic non Distributive Algebra
  14. An Efficient Method for Solving Equations in Generalized Quaternion and Octonion Algebras
  15. On the Quaternionic B 2 -Slant Helices in the Euclidean Space E 4
  16. On the Geometry of the Hyperbolic Scator Space in 1+2 Dimensions
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