# eliminate_kronecker

Eliminate Kronecker delta symbols.

Eliminates Kronecker delta symbols by performing index
contractions. Also replaces contracted Kronecker delta symbols with
the range over which the index runs, if known. \delta_{m n}::KroneckerDelta.
ex:=A_{m p} \delta_{p q} B_{q n};
eliminate_kronecker(_);

\(\displaystyle{}A_{m p} \delta_{p q} B_{q n}\)

\(\displaystyle{}A_{m q} B_{q n}\)

The index range is set as usual with

`Integer`

,{m,n,p,q}::Integer(0..d-1).
\delta_{m n}::KroneckerDelta.
ex:=\delta_{p q} \delta_{p q};
eliminate_kronecker(_);

\(\displaystyle{}\delta_{p q} \delta_{p q}\)

\(\displaystyle{}d\)

In order to eliminate metric factors (i.e. to 'raise' and 'lower'
indices) use the algorithm

`eliminate_metric`

.