A Super Version of the Connes-Moscovici Hopf Algebra
Khalkhali, Masoud · Pourkia, Arash
الأصل · EN
We define a super version of the Connes-Moscovici Hopf algebra, H₁. For that, we consider the supergroup Gˢ=Diff+(R¹,¹) of orientation preserving diffeomorphisms of the superline R¹,¹ and define two (super) subgroups Gˢ₁ and Gˢ₂ of Gˢ where Gˢ₁ is the supergroup of affine transformations. The super Hopf algebra H ˢ₁ is defined as a certain bicrossproduct super Hopf algebra of the super Hopf algebras attached to Gˢ₁ and Gˢ₂. We also give an explicit description of H ˢ₁ in terms of generators and relations.
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