The automorphism group of a quantised coordinate algebra is usually much smaller than that of its classical counterpart. Nevertheless, these automorphism groups are often very difficult to calculate. In this paper, we calculate the automorphism group of the quantum grassmannian in the case that the deformation parameter is not a root of unity. The main tool employed is the dehomogenisation equality which shows that a localisation of the quantum grassmannian is equal to a skew Laurent extension of quantum matrices. This equality is used to connect the automorphism group of the quantum grassmannian with that of quantum matrices, where the automorphism group is known.

中文翻译：

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量子格拉斯曼自同构群

量子化坐标代数的自同构群通常比其经典对应代数的自同构群小得多。然而，这些自同构群通常很难计算。本文计算了变形参数不是单位根的情况下量子格拉斯曼函数的自同构群。使用的主要工具是去均匀化等式，它表明量子格拉斯曼的局域化等于量子矩阵的偏洛朗扩展。这个等式用于将量子格拉斯曼的自同构群与量子矩阵的自同构群联系起来，其中自同构群是已知的。