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3 edited tags
2 Fix the math to look like the duplicate. As the OP intended it.

If $(\begin{matrix} ( A & B | C & D)\end{matrix}$ D)$is a symplectic matrix with entries in the finite field with two elements, is it necessarily the case that$\sum_{i,j,k} a_{ij}b_{ij}c_{ik}d_{ik} = 0$? This arose in connection with some calculations involving theta functions. There seems to be some indication that it might be true, and I could not come up with a counterexample; but experts in the area may well know the answer right off. Thanks for any help. 1 # symplectic matrices If$(\begin{matrix} A & B | C & D)\end{matrix}$is a symplectic matrix with entries in the finite field with two elements, is it necessarily the case that$\sum_{i,j,k} a_{ij}b_{ij}c_{ik}d_{ik} = 0\$?

This arose in connection with some calculations involving theta functions. There seems to be some indication that it might be true, and I could not come up with a counterexample; but experts in the area may well know the answer right off.

Thanks for any help.