On the existence of an invariant non-degenerate bilinear form under a linear map

Krishnendu Gongopadhyay, Ravi S. Kulkarni

Let $\V$ be a vector space over a field $\F$. Assume that the characteristic of $\F$ is \emph{large}, i.e. $char(\F)>\dim \V$. Let $T: \V \to \V$ be an invertible linear map. We an…