On the cellular decomposition and the Lusternik-Schnirelmann category of $Spin(7)$

Norio Iwase; Mamoru Mimura; Tetsu Nishimoto

On the cellular decomposition and the Lusternik-Schnirelmann category of $Spin(7)$

Algebraic Topology 2007-05-23 v1 Group Theory

Authors: Norio Iwase , Mamoru Mimura , Tetsu Nishimoto

Abstract

We give a cellular decomposition of the compact connected Lie group $Spin(7)$ . We also determine the L-S categories of $Spin(7)$ and $Spin(8)$ .

Keywords

cellular decomposition Spin(7) Spin(8) Lusternik-Schnirelmann category compact Lie group

Cite

@article{arxiv.math/0210414,
  title  = {On the cellular decomposition and the Lusternik-Schnirelmann category of $Spin(7)$},
  author = {Norio Iwase and Mamoru Mimura and Tetsu Nishimoto},
  journal= {arXiv preprint arXiv:math/0210414},
  year   = {2007}
}