We present a representation formula for discrete indefinite affine spheres via loop group factorizations. This formula is derived from the Birkhoff decomposition of loop groups associated with discrete indefinite affine spheres. In particular we show that a discrete indefinite improper affine sphere can be constructed from two discrete plane curves.

中文翻译：

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离散不定仿射球的表示公式

通过循环群分解，我们给出了离散的不确定仿射球体的表示公式。该公式源自与离散不定仿射球相关联的环组的Birkhoff分解。特别是，我们表明可以从两条离散的平面曲线构造出一个离散的不正确的仿射球体。