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A projective resolution of the symplectic Steinberg module

math.AT · 2026-05-07 · unverdicted · novelty 6.0

Constructs a projective resolution of the symplectic Steinberg module St^ω_{2n}(K) and uses it to compute top cohomology of level-p congruence subgroups of Sp_{2n}(R) for Euclidean R with surjective unit map.

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  • A projective resolution of the symplectic Steinberg module math.AT · 2026-05-07 · unverdicted · none · ref 16

    Constructs a projective resolution of the symplectic Steinberg module St^ω_{2n}(K) and uses it to compute top cohomology of level-p congruence subgroups of Sp_{2n}(R) for Euclidean R with surjective unit map.