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Hecke actions on certain strongly modular genera of lattices

✍ Scribed by Gabriele Nebe; Maria Teider

Book ID
105755276
Publisher
Springer
Year
2005
Tongue
English
Weight
127 KB
Volume
84
Category
Article
ISSN
0003-889X

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We develop an algorithm for determining an explicit set of coset representatives (indexed by lattices) for the action of the Hecke operators T(p), T j (p 2 ) on Siegel modular forms of fixed degree and weight. This algorithm associates each coset representative with a particular lattice W, pL Δ± W Δ±