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arXiv · 1709.02992

Algebraic Families of Groups and Commuting Involutions

Dan Barbasch·Nigel Higson·Eyal Subag
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Abstract

Let $G$ be a complex affine algebraic group, and let $\sigma_1$ and $\sigma_2$ be commuting anti-holomorphic involutions of $G$. We construct an algebraic family of algebraic groups over the complex projective line and a real structure on the family that interpolates between the real forms $G^{\sigma_1}$ and $G^{\sigma_2}$.

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BibTeXRIS

Dan Barbasch, Nigel Higson, Eyal Subag. 2017-09-09. Algebraic Families of Groups and Commuting Involutions. https://doi.org/10.1142/s0129167x18500301

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