I recently started studiyng representation theory, especially I am interested in $S_n$-module structures of free algebras over some variety. I know that the $S_n$-module structures are known for some algebras, like, free Novikov, free Lie, free bicommutative and free commutative algebras. But I have found no information about free anti-commutative algebras. Is it known the $S_n$-module structures for free anti-commutative algebras? If yes, can someone share with this reference?
2026-02-27 16:20:04.1772209204
Is it known the $S_n$-module structures of free anti-commutative algebra
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