Split-Tetraquaternion Algebra and Applications  

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》2024年第7期2682-2690,共9页应用数学与应用物理（英文）

摘　　要：In this paper, from the spacetime algebra associated with the Minkowski space ℝ3,1by means of a change of signature, we describe a quaternionic representation of the split-tetraquaternion algebra which incorporates the Pauli algebra, the split-biquaternion algebra and the split-quaternion algebra, we relate these algebras to Clifford algebras and we show the emergence of the stabilized Poincaré-Heisenberg algebra from the split-tetraquaternion algebra. We list without going into details some of their applications in Physics and in Born geometry.In this paper, from the spacetime algebra associated with the Minkowski space ℝ3,1by means of a change of signature, we describe a quaternionic representation of the split-tetraquaternion algebra which incorporates the Pauli algebra, the split-biquaternion algebra and the split-quaternion algebra, we relate these algebras to Clifford algebras and we show the emergence of the stabilized Poincaré-Heisenberg algebra from the split-tetraquaternion algebra. We list without going into details some of their applications in Physics and in Born geometry.

关 键 词：Tetraquaternion Algebra Split-Tetraquaternion Algebra Split Quaternion Algebra Clifford Algebra 

分 类 号：O15[理学—数学]