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

Title:

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

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:6b5b1f10-b299-41e0-bbc5-0969b0bfb2f7
uuid:6b5b1f10-b299-41e0-bbc5-0969b0bfb2f7
doi:10.21136/MB.2005.134097

Subject:

G-space, equivariant map, pseudo-Euclidean geometry, and functional equation

Type:

model:article and TEXT

Format:

bez média and svazek

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 .

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

265-275

Source:

Mathematica bohemica | 2005 Volume:130 | Number:3

Harvested from:

CDK

Metadata only:

false