Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] aatx_v1_0.gz(1 Kbytes)|
|Manuscript Title: Clifford multiplication tables.|
|Authors: G. Bergdolt|
|Program title: CLTB|
|Catalogue identifier: AATX_v1_0|
Distribution format: gz
|Journal reference: Comput. Phys. Commun. 44(1987)137|
|Programming language: Fortran.|
|Computer: IBM 3081.|
|Operating system: MVS/A.|
|RAM: 2K words|
|Word size: 32|
|Keywords: Clifford algebra, Group tables, General purpose, Algebras.|
Nature of problem:
Clifford multiplication of exterior products induces a finite group among multivectors in case of an orthonormal basis. The multiplication table of the group, depending on the number of dimensions and signature of the vector space, is computed together with the order structure of the group.
A multivector is encoded in a computer word using an occupation number scheme. The rules of Clifford multiplication are then easily expressed.
Due to the encoding method, the number of dimensions is limited to 30. The number of entries in a table is 2**2n for n dimensions, expotential growth of the output will set a limit much lower than 30.
CPU time was 0.97 sec for a 6 dimensional vector space and 0.69sec for a 4 dimensional space.
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