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

Robert Boltje; Burkhard Külshammer

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

Representation Theory 2013-12-05 v2 K-Theory and Homology Rings and Algebras

Authors: Robert Boltje , Burkhard Külshammer

Abstract

We determine the blocks, i.e., the primitive central idempotents, of the bifree double Burnside ring $B^\Delta(G,G)$ 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 $\QQ$ .

Keywords

double Burnside ring central idempotents primitive idempotents bifree left-free scalar extension

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@article{arxiv.1208.2940,
  title  = {Central idempotents of the bifree and left-free double Burnside ring},
  author = {Robert Boltje and Burkhard Külshammer},
  journal= {arXiv preprint arXiv:1208.2940},
  year   = {2013}
}

Comments

24 pages; minor changes; final version; to appear in Israel Journal of Mathematics

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

Abstract

Keywords

Cite

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