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

Norio Iwase·Mamoru Mimura·Tetsu Nishimoto
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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 $Spin(8)$.

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Norio Iwase, Mamoru Mimura, Tetsu Nishimoto. 2002-10-27. On the cellular decomposition and the Lusternik-Schnirelmann category of $Spin(7)$. https://arxiv.org/abs/math/0210414

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