Revision #571 → #1310 · back to history
addedHypercomplex numberfdc86f0d3b18
addedHurwitz's theorem9a228eb0f29d
addedFrobenius theorem110118bb464b
addedAdams generalization (Hopf invariants)7342404239a1
addedMatrices isomorphic to coquaternions91d75848b9e3
addedWedderburn's matrix representatione95fb228872e
addedHypercomplex number (Kantor & Solodovnikov)32d719850d9e
addedClassification of 2-dimensional unital real algebrasb22997e387ae
addedComplex numbers the only quadratic fieldd51799e553fe
addedSplit algebras are not division algebras621c86f5af90
addedClifford algebraac95f94b46e9
addedClifford algebra label notation8b010edf2730
addedGeometric algebras1298782be408
addedExamples of Clifford algebrasd89763c7574b
addedEven subalgebra parametrises rotations50280861336e
addedClifford algebras retain associativityc9d8de66dfca
addedPorteous Proposition 11.4 (recognition of subalgebras)be719e3dc464
addedClifford algebras with square +1 elements not division algebras44ec26768a1b
addedCayley–Dickson construction4965858abc4f
addedNon-associativity in 8+ dimensions3edfb33fae8a
addedZero divisors in 16+ dimensions86515ea84531
addedQuaternions, octonions, sedenions3031481176cd
addedAlgebraic symmetry lost with dimension440560a14492
addedModified construction generates split algebrasab6a0ffef076
addedSplit-complex numbers856e01e52ec2
addedSplit-quaternions649911881cf7
addedSplit-octonionse931a7b3ab4e
addedProperties of split-complex numbers105dec45af08
addedProperties of split-quaternions6fe2ce064a91
addedProperties of split-octonions09f12681900c
addedTensor product of algebras is an algebra4df64f9103f4
addedTensor products with the complex numbers353d88796de0
addedTensor product of two quaternion algebras25e1d84b7a5c
addedHyperquaternion algebrasbb3baa0495eb
addedBicomplex numberse89aaa5381ea
addedMulticomplex numbersafcf95a674a2
addedComposition algebra5ba3b8012588