Broué-Enguehard maps and Atkin-Lehner involutions

Authors:
YoungJu Choie;Patrick Solé
Affiliations:
Department of Mathematics, POSTECH, Pohang 790-784, Republic of Korea;CNRS, I3S ESSI, BP 145 Route des Colles, 06 903 Sophia Antipolis, France
Venue:
European Journal of Combinatorics
Year:
2008

Citing 3
Cited 2

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Abstract

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.