About: Hypercomplex number

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In mathematics, hypercomplex number is a traditional term for an element of a finite-dimensional unital algebra over the field of real numbers. The study of hypercomplex numbers in the late 19th century forms the basis of modern group representation theory.

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rdfs:label	Hypercomplex number (en)
rdfs:comment	In mathematics, hypercomplex number is a traditional term for an element of a finite-dimensional unital algebra over the field of real numbers. The study of hypercomplex numbers in the late 19th century forms the basis of modern group representation theory. (en)
differentFrom	Surreal number
sameAs	Hypercomplex number Hypercomplex number Hypercomplex number
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Subject	Historical treatment of quaternions History of mathematics Hypercomplex numbers
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Link from a Wikipage to another Wikipage	Frank Adams Nonstandard analysis Norm (mathematics) Number Rotation Abstract algebra Addison-Wesley Algebra over a field Algebraically closed field Associative algebra Associative property Bartel Leendert van der Waerden Benjamin Peirce Bicomplex number Biquaternion University of Edinburgh Bulletin of the AMS Cayley–Dickson construction Geometric algebra Georg Scheffers Joseph Wedderburn Historical treatment of quaternions History of mathematics Hypercomplex numbers Dimension Direct product Division algebra Dual number Octonion Quadratic form Quantum mechanics Quaternion Sedenion Zero divisor Charles Sanders Peirce Classical mechanics Classification of Clifford algebras Cross-ratio Degenerate bilinear form Frederick William University Hurwitz's theorem (composition algebras) Hyperbolic quaternion Hypercomplex analysis Phase (waves) Split-biquaternion Split-complex number Split-octonion Split-quaternion Square matrix Tensor product Clifford algebra Closure (mathematics) Commutative property Completing the square Complex number Composition algebra Eduard Study Orthogonalization Richard Brauer Spacetime algebra Special relativity Spin (physics) Electromagnetism Element (mathematics) Elsevier Emmy Noether Frobenius theorem (real division algebras)

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