Equivariant mappings from vector product into G-spaces of ϕ-scalars with G = O (n, 1, R)

Title:

Equivariant mappings from vector product into G-spaces of ϕ-scalars with G = O (n, 1, R)

Creator:

Glanc, Barbara, Misiak, Aleksander, and Szmuksta-Zawadzka, Maria

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:de2c76d5-d457-4f8c-8616-dc5a716ef1a6
uuid:de2c76d5-d457-4f8c-8616-dc5a716ef1a6
doi:10.21136/MB.2007.134120

Subject:

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

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

There are four kinds of scalars in the n-dimensional pseudo-Euclidean geometry of index one. In this note, we determine all scalars as concomitants of a system of m ≤ n linearly independent contravariant vectors of two so far missing types. The problem is resolved by finding the general solution of the functional equation F(Au 1 , Au 2 , . . . , Au m ) = ϕ (A) · F(u 1 , u 2 , . . . , u m ) using two homomorphisms ϕ from a group G into the group of real numbers R0 = (R \ {0} , ·).

Language:

English

Rights:

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

Coverage:

325-332

Source:

Mathematica bohemica | 2007 Volume:132 | Number:3

Harvested from:

CDK

Metadata only:

false