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arXiv · 1901.07395

The Super Lie Groups Associated to Odd Involutions

Mohammad Mohammadi·Saad Varsaie
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Abstract

A new generalization of Grassmannians in supergeometry, called $ν-$Grassmannians, are constructed by gluing $ν-$domains. By a $ν-$domain, we mean a superdomain with an odd involution say $ν$ on its structure sheaf, as morphism of modules. Then we show that $ν-$Grassmannians are homogeneous superspaces. In addition, in the last section, a supergroup associated to the odd involution $ν$ is introduced.

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Mohammad Mohammadi, Saad Varsaie. 2019-01-18. The Super Lie Groups Associated to Odd Involutions. https://arxiv.org/abs/1901.07395

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