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Start Over Coverage 265-275

1. Equivariant mappings from vector product into G-space of vectors and ε-vectors with G = O(n, 1, ℝ)

Creator:
Glanc, Barbara, Misiak, Aleksander, and Stepień, Zofia
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
G-space, equivariant map, pseudo-Euclidean geometry, and functional equation
Language:
English
Description:
In this note all vectors and ε-vectors of a system of m ≤ n linearly independent contravariant vectors in the n-dimensional pseudo-Euclidean geometry of index one are determined. The problem is resolved by finding the general solution of the functional equation F(Au 1 , Au 2 , . . . , Au m ) = (det A) λ · A · F(u 1 , u 2 , . . . , u m ) with λ = 0 and λ = 1, for an arbitrary pseudo-orthogonal matrix A of index one and given vectors u 1 , u 2 , . . . , u m .
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public