About: Quaternionic vector space

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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.

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  • 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. (en)
  • 선형대수학에서 사원수 벡터 공간(영어: quaternionic vector space)는 사원수 대수 위의 가군이다. (ko)
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  • 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. (en)
  • 선형대수학에서 사원수 벡터 공간(영어: quaternionic vector space)는 사원수 대수 위의 가군이다. (ko)
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  • 사원수 벡터 공간 (ko)
  • Quaternionic vector space (en)
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