An isomorphism between the Para-Fermi algebra and the algebra O(n,n+1)

It is shown that the relations which define the para-Fermi creation and annihilation operatorsb_i,a_i (i = 1,...,n) can be considered as commutation relations of the algebra 0(n, n+1). It turns out that every representation of 0(n, n+1) determines a representation of the para-Fermi algebra and vice versa.