nLab quaternionic structure

Idea

Almost quaternionic structure: reduction of the stucture group along the inclusion $GL_n(\mathbb{H}) \hookrightarrow Gl_{4 n}(\mathbb{R})$, for $\mathbb{H}$ the quaternions.

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Related concepts

• quaternionic unitary group

• real structure, complex structure

• real vector space, complex vector space, quaternionic vector space

• para-quaternionic structure

References

• Wikipedia, Quaternionic structure

• Wikipedia, Reduction of the structure group – Examples