Corpus ID: 173990384

A $2$-compact group as a spets

@article{Semeraro2019AG,
  title={A \$2\$-compact group as a spets},
  author={Jason Semeraro},
  journal={arXiv: Representation Theory},
  year={2019}
}
  • Jason Semeraro
  • Published 2019
  • Mathematics
  • arXiv: Representation Theory
  • In 1998 Malle introduced spetses which are mysterious objects with non-real Weyl groups. In algebraic topology, a $p$-compact group $\mathbf{X}$ is a space which is a homotopy-theoretic $p$-local analogue of a compact Lie group. A connected $p$-compact group $\mathbf{X}$ is determined by its root datum which in turn determines its Weyl group $W_\mathbf{X}$. In this article we give strong numerical evidence for a connection between these two subjects by considering the case when $\mathbf{X}$ is… CONTINUE READING
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    Weight conjectures for $\ell$-compact groups and spetses
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