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Author: WikiMatrix
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English[en]
If the ground field k is arbitrary and GL(V) is considered as an algebraic group, then this construction shows that the Grassmannian is a non-singular algebraic variety.
Chinese[zh]
如果底域 k 任意且将 GL(V) 视为一个代数群,则这种构造说明格拉斯曼是一个非奇异代数簇。