In this paper, we provide a new reformulation of the quadratic analogue of the Weyl relations. Especially, we offer some adjustments [10] on these relations and the corresponding group law, i.e., the quadratic Heisenberg group law. We provide a much more transparent description of the underlying manifold and we give a connection with the projective group PSU(1,1). Finally, we deduce such a holomorphic realization of the quadratic Heisenberg group.

中文翻译：

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用射影群 PSU(1,1) 和全纯表示识别单模二次海森堡群

在本文中，我们提供了外尔关系的二次类比的新重新表述。特别是，我们对这些关系和相应的群律，即二次海森堡群律，进行了一些调整[10]。我们提供了对底层流形的更透明的描述，并给出了与射影群 PSU(1,1) 的联系。最后，我们推导出二次海森堡群的这种全纯实现。