# Simplify Tensor Products with Epsilon-Delta

> The core focus of the source is the application of the $$\varepsilon-\delta$$-relation to transform the tensor expression $$\varepsilon\_{i j k} \varepsilon\_{j k \ell}$$ into a representation using the Kronecker delta. To master this, one must approach complex tensor identities by breaking them down into manageable, step-by-step calculations rather than attempting to solve them all at once. Furthermore, visualising the summation of individual products is essential, as it highlights the specific non-zero terms required to arrive at the final simplified value.

### :clapper:Narrated Video

{% embed url="<https://youtu.be/HUR9iz87tPs>" %}

### :thread:Related Derivation

{% content-ref url="../proof-and-derivation/simplifying-levi-civita-and-kronecker-delta-identities" %}
[simplifying-levi-civita-and-kronecker-delta-identities](https://via-dean.gitbook.io/all/~/revisions/WYsapCOkHSgcDPhymfq8/multifaceted-viewpoint/mathematical-structures-underlying-physical-laws/proof-and-derivation/simplifying-levi-civita-and-kronecker-delta-identities)
{% endcontent-ref %}

### :hammer\_pick:Compound Page

{% embed url="<https://viadean.notion.site/Simplify-Tensor-Products-with-Epsilon-Delta-2dc1ae7b9a3280ad823ad4951c7e988d?source=copy_link>" %}