Symmetry Transformations in Indefinite Metric Spaces a Generalization of Wigner’s Theorem
نویسنده
چکیده
The rays # and 4 are said to be orthogonal (denoted by (I,$ 4) = 0) if (I,$ 4) = 0 and non-orthogonal (denoted by (9 4) # 0) if (+, 4) # 0. This definition is independent of the choice of I/I E +Q and #J E 4. The rays Ilr,, . . . , a,%k are said to be independent if and only if I,!J~, . . . , +!I~ are linearly independent. This definition does not depend on the choice of I,!+ E +&, i = 1,. . . , k. The rays of V form the projective space V. A mapping T: V+ V is called a symmetry transformation if
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