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Stiefel-Whitney Classes Of Representations Of Dihedral Groups

Representation Theory 2023-10-05 v2

Abstract

We compute the Stiefel-Whitney Classes for representations of dihedral groups DmD_m in terms of character values of order two elements. We also provide criteria to identify representations V which lift to the double covers of the orthogonal group O(V ) and those with non-trivial mod 2 Euler class.

Keywords

Cite

@article{arxiv.2307.14647,
  title  = {Stiefel-Whitney Classes Of Representations Of Dihedral Groups},
  author = {Sujeet Bhalerao and Rohit Joshi and Neha Malik},
  journal= {arXiv preprint arXiv:2307.14647},
  year   = {2023}
}