Constructs a projective resolution of the symplectic Steinberg module St^ω_{2n}(K) for Sp_{2n}(R), analogous but more involved than Lee-Szczarba's for SL_n, and applies it to compute top cohomology of principal level-p congruence subgroups over Euclidean rings.
arXiv preprint arXiv:2405.11528 , year=
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A projective resolution of the symplectic Steinberg module
Constructs a projective resolution of the symplectic Steinberg module St^ω_{2n}(K) for Sp_{2n}(R), analogous but more involved than Lee-Szczarba's for SL_n, and applies it to compute top cohomology of principal level-p congruence subgroups over Euclidean rings.