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Equivariant maps between certain G -spaces with  G = O ( n - 1 , 1 ) .

Aleksander Misiak, Eugeniusz Stasiak (2001)

Mathematica Bohemica

In this note, there are determined all biscalars of a system of s n linearly independent contravariant vectors in n -dimensional pseudo-Euclidean geometry of index one. The problem is resolved by finding a general solution of the functional equation F ( A 1 u , A 2 u , , A s u ) = ( sign ( det A ) ) F ( 1 u , 2 u , , s u ) for an arbitrary pseudo-orthogonal matrix A of index one and the given vectors 1 u , 2 u , , s u .

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