The relativistic Lorentz-covariant quantum space-times obtained by Snyder can be described by the coset generators of (anti) de-Sitter algebras. Similarly, the Lorentz-covariant quantum phase spaces introduced by Yang, which contain additionally quantum curved fourmomenta and quantum-deformed relativistic Heisenberg algebra, can be defined by suitably chosen coset generators of conformal algebras. We extend such algebraic construction to the respective superalgebras, which provide quantum Lorentz-covariant superspaces (SUSY Snyder model) and indicate also how to obtain the quantum relativistic phase superspaces (SUSY Yang model). In last Section we recall briefly other ways of deriving quantum phase (super)spaces and we compare the spinorial Snyder type models defining bosonic or fermionic quantum-deformed spinors.

斯奈德获得的相对论洛伦兹协变量子时空可以用（反）去西特代数的陪集生成器来描述。Similarly, the Lorentz-covariant quantum phase spaces introduced by Yang, which contain additionally quantum curved fourmomenta and quantum-deformed relativistic Heisenberg algebra, can be defined by suitably chosen coset generators of conformal algebras. 我们将这种代数构造扩展到相应的超代数，它们提供了量子洛伦兹协变超空间（SUSY Snyder 模型），并指出了如何获得量子相对论相超空间（SUSY Yang 模型）。在上一节中，我们简要回顾了推导量子相位（超）空间的其他方法，并比较了定义玻色子或费米子量子变形旋量的旋量 Snyder 类型模型。