Sudip Mazumder

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math.RA2017

Conjugate Real Classes in General Linear Groups

Krishnendu Gongopadhyay, Sudip Mazumder, Sujit Kumar Sardar

Let $\F$ be a field with a non-trivial involution $c : α \to α^{c}$ . An element $g \in {\rm GL}_n(\F)$ is called $c$ -real if it is conjugate to $(g^{c})^{- 1}$ . We prove that for $n \geq…

math.RA2016

Existence of an invariant form under a linear map

Krishnendu Gongopadhyay, Sudip Mazumder

Let $\F$ be a field of characteristic different from $2$ and $\V$ be a vector space over $\F$. Let $J : α \to α^{J}$ be a fixed involutory automorphism on $\F$. In this paper we answer…