Broué-Enguehard maps and Atkin-Lehner involutions

Let @? be one of the ten integers such that the sum of their divisors divide 24. For each such @?, (except 15) we give a map from an algebra of polynomial invariants of some finite group to the algebra of modular forms invariant under the Atkin-Lehner group of level @?. These maps are motivated and inspired by constructions of modular lattices from self-dual codes over rings. This work generalizes Broue-Enguehard work in level one and three obtained from binary and ternary codes.

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