English

A homotopy aspect of representation theory

Algebraic Topology 2007-05-23 v2 Representation Theory

Abstract

We bring a linkage from representation theory of Lie groups to homotopy theory for maps between flag manifolds. As applications we derive from representation theory abundant families of homotopy classes of maps between flag manifolds whose induced cohomology homomorphisms can be read from the characters of the representations.

Keywords

Cite

@article{arxiv.math/0502279,
  title  = {A homotopy aspect of representation theory},
  author = {Haibao Duan},
  journal= {arXiv preprint arXiv:math/0502279},
  year   = {2007}
}

Comments

10 pages

R2 v1 2026-07-22T17:15:36.093Z