A definition of wedge product
Topics
About: exterior algebra
The table of contents of this article
Starting Context
- The reader knows a definition of exterior algebra.
Target Context
- The reader will have a definition of wedge product.
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: Definition
For the exterior algebra, \(\land (V)\), of any left R-module, V, where R is any ring, the image of the operation, \(\land\), that constructs \(v_1 \land v_2 \land . . . \land v_k\), which is an element of the exterior algebra, from any \(v_i \in V\)