Diamond cone for spo(2m,1)spo(2m,1)

In the present paper, we define the diamond cone for the Lie superalgebra spo(2m,1)spo(2m,1), considering the (covariant) tensor representation of spo(2m,1)spo(2m,1). The diamond cone is no more indecomposable. Nevertheless, we give a basis for each indecomposable component, using quasistandard Young tableaux for spo(2m,1)spo(2m,1).We realize a bijection between the set of semistandard tableaux with shape λ   and the set of quasistandard tableaux with shape μ≤λμ≤λ. This gives the compatibility of the diamond cone with the natural stratification of the reduced shape algebra.