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HigherCIOperators :: exteriorMultiplication

exteriorMultiplication -- "multiplication maps in the exterior algebra"

Synopsis

Usage:

mu = exteriorMultiplication n
Inputs:
- n, an integer, positive integer
Outputs:
- mu, a hash table, $mu\{p,q\}\wedge^p k^n\otimes \wedge^q k^n \to \wedge^{p+q}k^n$

Description

The basis of each $\wedge^p k^n$ is given in lex order.

Caveat

This is not the order of the basis in the output of koszul ff; rather, use trueKoszul ff.

See also

trueKoszul -- "Makes Koszul complex, with bases sorted in lex"

Ways to use `exteriorMultiplication` :

"exteriorMultiplication(ZZ)"

For the programmer

The object exteriorMultiplication is a method function.