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

Title:

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

Creator:

Misiak, Aleksander and Stasiak, Eugeniusz

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:1ef763dd-a558-4bb2-9c63-2ae9a2cc194f
uuid:1ef763dd-a558-4bb2-9c63-2ae9a2cc194f
doi:10.21136/MB.2001.134200

Subject:

G-space, equivariant map, vector, scalar, and biscalar

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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(Au1 , Au2 , . . . , Aus ) = (sign(det A))F(u1 , u2 ,...,us ) for an arbitrary pseudo-orthogonal matrix A of index one and the given vectors u1 , u2 ,...,us .

Language:

English

Rights:

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

Coverage:

555-560

Source:

Mathematica bohemica | 2001 Volume:126 | Number:3

Harvested from:

CDK

Metadata only:

false