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arXiv 1612.03315math.AGmath.RA
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SUSY $N$ -超群及其实型

SUSY $N$-supergroups and their real forms

R. Fioresi, S. D. Kwok

摘要:

研究了SUSY $N$ -超群,$N=1,2$,它们的分类和显式实现,以及它们的实形式.最后,我们给出了$\mathbf{C}^{1|1}$的保超对称自同构的超群,并将其与$\mathbf{P}^{1|1}$的保超对称自同构的一个子超群相区别.

英文摘要:

We study SUSY $N$-supergroups, $N=1,2$, their classification and explicit realization, together with their real forms. In the end, we give the supergroup of SUSY preserving automorphism of $\mathbf{C}^{1|1}$ and we identify it with a subsupergroup of the SUSY preserving automorphisms of $\mathbf{P}^{1|1}$.

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