---
tag: 2F3WKDXPH3
kind: concept
name: Core partition
aliases: [t-core-partition]
sources:
  - wikipedia: en:82861141@r1369288254
    locator: Core partition
    note: adopted
    mention: wikipedia://en/82861141
    sections: [Summary]
same_as:
  wikidata: Q140879541
  wikipedia: Core partition
inventory: [394YB48WAH]
---

## Summary

In [[combinatorial mathematics|0JKW7W7XFR]], a **$t$-core partition** is a [[partition|0JV30XN73Z]] which has no hooks of length $t$. Such partitions have been used in the study of Ramanujan's congruences on the [[partition function|001CX45SWQ]] and for representation theory of the [[symmetric group|0515A6D2Y1]], especially modular representation theory.