Non-commutative Geometry of Homogenized Quantum $\mathfrak{sl}(2,\mathbb{C})$

Alex Chirvasitu, S. Paul Smith, Liang Ze Wong

This paper examines the relationship between certain non-commutative analogues of projective 3-space, ${\mathbb{P}}^3$, and the quantized enveloping algebras $U_q({\mathfrak{sl}}_2)$.…