正交费米子的表示理论与超对称实现
On the Representation Theory of Orthofermions and Orthosupersymmetric Realization of Parasupersymmetry and Fractional Supersymmetry
摘要：
我们构造了一个规范的不可约表示的正交费米子代数的任意阶，并表明，每一个表示分解成不可约表示是同构的规范表示或平凡表示。利用这些结果，我们证明了每一个$p$阶正交超对称系统都具有$p$阶的仿对称性和$p+1$阶的分数超对称性.
英文摘要：
We construct a canonical irreducible representation for the orthofermion algebra of arbitrary order, and show that every representation decomposes into irreducible representations that are isomorphic to either the canonical representation or the trivial representation. We use these results to show that every orthosupersymmetric system of order $p$ has a parasupersymmetry of order $p$ and a fractional supersymmetry of order $p+1$.
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