Central idempotents of the bifree and left-free double Burnside ring

preprint2013arXivOpen access

We determine the blocks, i.e., the primitive central idempotents, of the bifree double Burnside ring $B^Δ(G,G)$ and the left-free double Burnside ring $B^{\trl}(G,G)$, as well as the primitive central idempotents of the algebras arising from scalar extension to $\QQ$.

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Central idempotents of the bifree and left-free double Burnside ring

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