Existence of an invariant form under a linear map
Tóm tắt
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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