Existence of an invariant form under a linear map

Krishnendu Gongopadhyay () and Sudip Mazumder ()
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Krishnendu Gongopadhyay: Indian Institute of Science Education and Research (IISER) Mohali
Sudip Mazumder: Jadavpur University

Indian Journal of Pure and Applied Mathematics, 2017, vol. 48, issue 2, 211-220

Abstract: Abstract Let F be a field of characteristic different from 2 and V be a vector space over F. Let J: α → α J be a fixed involutory automorphism on F. In this paper we answer the following question: given an invertible linear map T: V → V, when does the vector space V admit a T-invariant nondegenerate J-hermitian, resp. J-skew-hermitian, form?

Keywords: Linear map; Hermitian form; isometry (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s13226-017-0222-y

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