English

Topics on global analysis of manifolds and representation theory of reductive groups

Representation Theory 2021-06-16 v1

Abstract

Geometric symmetry induces symmetries of function spaces, and the latter yields a clue to global analysis via representation theory. In this note we summarize recent developments on the general theory about how geometric conditions affect representation theoretic properties on function spaces, with focus on multiplicities and spectrum.

Keywords

Cite

@article{arxiv.2006.16680,
  title  = {Topics on global analysis of manifolds and representation theory of reductive groups},
  author = {Toshiyuki Kobayashi},
  journal= {arXiv preprint arXiv:2006.16680},
  year   = {2021}
}

Comments

14 pages