Schur Subalgebras and an Application to the Symmetric Group
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Noncommutative irreducible characters of the symmetric group and noncommutative Schur functions
In the Hopf algebra of symmetric functions, Sym, the basis of Schur functions is distinguished since every Schur function is isomorphic to an irreducible character of a symmetric group under the Frobenius characteristic map. In this note we show that in the Hopf algebra of noncommutative symmetric functions, NSym, of which Sym is a quotient, the recently discovered basis of noncommutative Schur...
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