An A(oo)-structure on the cohomology ring of the symmetric group Sp with coefficients in Fp

Stephan Schmid

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An A(oo)-structure on the cohomology ring of the symmetric group Sp with coefficients in Fp

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arxiv 1302.0121 v1 pith:GOKMS5MD submitted 2013-02-01 math.RT

Stephan Schmid This is my paper · ORCID

classification math.RT

keywords grouppresalgebrastructuresymmetricbecomescoefficientscohomology

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abstract

Let p be a prime. Let FpSp be the group algebra of the symmetric group over the finite field Fp with |Fp|=p$. Let Fp be the trivial FpSp-module. We present a projective resolution PRes Fp of the module Fp and equip the Yoneda algebra Ext(Fp,Fp) with an A(oo)-structure such that Ext(Fp,Fp) becomes a minimal model of the dg-algebra Hom(PRes Fp, PRes Fp).

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