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About: Quaternionic vector space     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatQuaternions, within Data Space : dbpedia.org associated with source document(s)

Type: yago:Abstraction100002137yago:DefiniteQuantity113576101yago:Digit113741022yago:Four113744304yago:Integer113728499yago:Measure100033615yago:Number113582013yago:WikicatQuaternions New Facet based on Instances of this Class

In mathematics, a left (or right) quaternionic vector space is a left (or right) H-module where H is the (non-commutative) division ring of quaternions. The space Hn of n-tuples of quaternions is both a left and right H-module using the componentwise left and right multiplication: for quaternions q and q1, q2, ... qn. Since H is a division algebra, every finitely generated (left or right) H-module has a basis, and hence is isomorphic to Hn for some n.