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arxiv: 1010.1346 · v1 · pith:DB5BSFMVnew · submitted 2010-10-07 · 🧮 math.GR · math.KT

The extension algebra of some cohomological Mackey functors

classification 🧮 math.GR math.KT
keywords functoralgebracohomologicalfunctorsinflationmackeyabeliancharacteristic
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Let $k$ be a field of characteristic $p$. We construct a new inflation functor for cohomological Mackey functors for finite groups over $k$. Using this inflation functor, we give an explicit presentation of the graded algebra of self extensions of the simple functor $S_\un^G$, when $p$ is odd and $G$ is an elementary abelian $p$-group.

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