Existence of an invariant form under a linear map |
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| Authors: | Krishnendu Gongopadhyay Sudip Mazumder |
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| Institution: | 1.Indian Institute of Science Education and Research (IISER) Mohali,S.A.S. Nagar,India;2.Department of Mathematics,Jadavpur University,Jadavpur, Kolkata,India |
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| 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? |
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