On configuration spaces and Whitehouse’s lifts of the Eulerian representations. (English) Zbl 1416.05293
Summary: S. Whitehouse’s lifts of the Eulerian representations of \(\mathfrak{S}_n\) to \(\mathfrak{S}_{n + 1}\) [S. Whitehouse, J. Pure Appl. Algebra 115, No. 3, 309–320 (1997; Zbl 0870.20013)] are reinterpreted, topologically and ring-theoretically, building on the first author’s work [“Honeycomb tessellations and canonical bases for permutohedral blades”, Preprint, arXiv:1810.03246].
MSC:
| 05E10 | Combinatorial aspects of representation theory |
| 55R80 | Discriminantal varieties and configuration spaces in algebraic topology |
| 20C30 | Representations of finite symmetric groups |
Citations:
Zbl 0870.20013References:
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