The Essentials of Clifford Algebras with Maple Programming

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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Volume:25 Issue:2
The Essentials of Clifford Algebras with Maple Programming

The Essentials of Clifford Algebras with Maple Programming

Authors : Mutlu AKAR

Pages : 610-618

Doi:10.16984/saufenbilder.869402

View : 23 | Download : 13

Publication Date : 2021-04-15

Article Type : Research Paper

Abstract :Clifford algebra insert ignore into journalissuearticles values(geometric algebra); which has many applications in physics, robotics, CAD insert ignore into journalissuearticles values(Computer-Aided Design); /CAM insert ignore into journalissuearticles values(Computer-Aided Manufacture);, computer graphics, image processing, etc. is one of the important subjects in mathematics. In this paper, after we give the definition of Clifford algebras, introduce their subspaces. Firstly, we develop an algorithm which obtain some concepts of Clifford algebras using by Maple programming. Secondly, another algorithm calculates the norm of the multivector obtained by finding the Clifford product of any two vectors of the same finite dimension.
Keywords : Clifford algebras, Clifford product, Multivector, Maple

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