| Summary: | 碩士 === 逢甲大學 === 應用數學系 === 87 === The primary purpose of this paper is to introduce composition algebra
and automorphism of Cayley algebra. We want to make an introduction in
Jacobson theorem [1]: Automorphism in quaternion algebra or Cayley algebra
is product of reflections. Moreover,it is inner automorphism. Automorphism
in split Cayley algebra is product of split reflections.
There are three parts in this paper. The first part of this paper is
preliminary with reference [2] In the second part, We have discussed
composion algebra and the references in note [1], [3], [4], The last part
taking note [1] is automorphism in Cayley algebra.
How many reflections at least needed in automorphism in quaternion
algebra or Cayley algebra written as product of reflections not solved
is worthy of studying and researching.
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