Abstract

Suppose that H is an arbitrary finite-dimensional Hopf superalgebra. Let H(H) be the Heisenberg double of H and let R be the canonical matrix of H(H) that satisfies the graded pentagon equation R12R13R23=R23R12. It is established that H is isomorphic to the Hopf superalgebra P(H(H),R) of left coefficients of R. This result can be regarded as a generalisation of Militaru's result [10] from the non-super situation to the super situation.

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