definition of \(q\)-symmetric-tensors space of vectors space
Topics
About: vectors space
The table of contents of this article
Starting Context
Target Context
- The reader will have a definition of \(q\)-symmetric-tensors space of vectors space.
Orientation
There is a list of definitions discussed so far in this site.
There is a list of propositions discussed so far in this site.
Main Body
1: Structured Description
Here is the rules of Structured Description.
Entities:
\( F\): \(\in \{\text{ the fields }\}\)
\( V\): \(\in \{\text{ the } F \text{ vectors spaces }\}\)
\( q\): \(\in \mathbb{N}\)
\(*\Sigma_q (V)\): \(= \Sigma_q (V: F)\)
//
Conditions:
//
When \(q = 0\), \(\Sigma_q (V)\) is an element of \(F\): as there is no argument, an element of \(F\) is chosen unconditionally.
