Constant rank subspaces of alternating bilinear forms from Galois Theory

Ashish Gupta, Sugata Mandal

Let $L/K$ be a cyclic extension of degree $n=2m$. It is known that the space ${\text{Alt}}_K(L)$ of alternating $K$-bilinear forms (skew-forms) on $L$ decomposes into a direct sum…