Commutative Schur rings over symmetric groups II: The case n = 6
Keywords:
Schur ring, Conjugacy class, Symmetric group, Group algebra
Abstract
We determine the commutative Schur rings over $S_6$ that contain the sum of all the transpositions in $S_6$. There are eight such types (up to conjugacy), of which four have the set of all the transpositions as a principal set of the Schur ring.
