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

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

2002-10-27

arxiv.org/abs/math/0210414v1

Topology Appl. 133 (2003), no. 1, 1--14.

Mathematics

Algebraic Topology

14 pages

Scientific paper

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

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