Math 2.0

Concept

Jucys–Murphy element

Summary

In mathematics, the Jucys–Murphy elements in the group algebra ℂ[Sn]\mathbb{C} [S_n] of the symmetric group, named after Algimantas Adolfas Jucys and G. E. Murphy, are defined as a sum of transpositions by the formula:

Further reading

  1. Wikipedia, page 24153642, revision 1214487075, Jucys–Murphy element. adopted
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Changed4 November 2026

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