A Super Version of the Connes-Moscovici Hopf Algebra

Details A Super Version of the Connes-Moscovici Hopf Algebra A Super Version of the Connes-Moscovici Hopf Algebra

2010-11-11

arxiv.org/abs/1011.2550v1

Mathematics

Quantum Algebra

Dedicated to Henri Moscovici

Scientific paper

We define a super version of the Connes-Moscovici Hopf algebra, $\mathcal{H}_1$. For that, we consider the supergroup $G^s=Diff^+(\mathbb{R}^{1,1})$ of orientation preserving diffeomorphisms of the superline $\mathbb{R}^{1,1}$ and define two (super) subgroups $G^s_1$ and $G^s_2$ of $G^s$ where $G^s_1$ is the supergroup of affine transformations. The super Hopf algebra $\mathcal{H} ^s_1$ is defined as a certain bicrossproduct super Hopf algebra of the super Hopf algebras attached to $G^s_1$ and $G^s_2$. We also give an explicit description of $\mathcal{H} ^s_1$ in terms of generators and relations.

Affiliated with

Also associated with

No associations

Rating

A Super Version of the Connes-Moscovici Hopf Algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Super Version of the Connes-Moscovici Hopf Algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Super Version of the Connes-Moscovici Hopf Algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-430406