Hyperquaternionic Representations of Conic Sections  

作　　者：Grégoire Lutanda Panga Grégoire Lutanda Panga(Department of Mathematics and Informatic, University of Lubumbashi, Lubumbashi, The Democratic Republic of the Congo)

机构地区：[1]Department of Mathematics and Informatic, University of Lubumbashi, Lubumbashi, The Democratic Republic of the Congo

出　　处：《Journal of Applied Mathematics and Physics》2022年第10期2989-3002,共14页应用数学与应用物理（英文）

摘　　要：In this paper, by means of an isomorphism, we express the Clifford algebra Cl_5,3 as hyperquaternion algebra H ⊗H ⊗H ⊗H (a four-fold tensor product of quaternion algebras) and we provide the hyperquaternionic approach to the inner product null space (IPNS) representation of conic sections.In this paper, by means of an isomorphism, we express the Clifford algebra Cl_5,3 as hyperquaternion algebra H ⊗H ⊗H ⊗H (a four-fold tensor product of quaternion algebras) and we provide the hyperquaternionic approach to the inner product null space (IPNS) representation of conic sections.

关 键 词：Clifford Algebra Multivectors QUATERNIONS Hyperquaternions 

分 类 号：O15[理学—数学]