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Symplectic Eichler criterion
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DOI：10.1007/s11139-026-01398-2.png)
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Abstract
En 中文
We prove an Eichler-type criterion for symplectic lattices which determines in a simple way when two primitive vectors are equivalent under a canonical congruence subgroup of the symplectic group. This is supplemented by another, related criterion which determines when a given primitive vector is splitting. Both criteria use the discriminant group.
Keywords:
Symplectic group
Eichler criterion