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For questions about spin manifolds, the groups $\operatorname{Spin}(n)$, as well as generalisations such as $\operatorname{Pin}^{\pm}(n)$ and $\operatorname{Spin}^c(n)$. This tag should also be used for any questions about the geometry of spin manifolds, including questions involving Dirac operators and the Lichnerowicz formula.

4 votes

Triality of Spin(8)

@Marty: Thanks for your response. I wasn't aware of existence of such construction of $Spin(8)$ and it makes clear to me some of the properties of it. I just believe action of outomorphism group is no …
Aliakbar Daemi's user avatar