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- W2008038507 abstract "There is a well known isometry between the center Z ( S n ) of the group algebra of the symmetric group S n and the space of homogeneous symmetric functions H n of degree n . This isometry is defined via the Frobenius map F: Z ( S n ) → H n , where F (ƒ)= 1 n! Σ σ ∈ S n ƒ(σ)ψ κ(σ) . Let M λ = F −1 ( m λ ) be the preimage of the monomial symmetric function m λ under F. We give an interpretation of M λ in terms of certain combinatorial structures called λ-domino tabloids. Using this interpretation, a number of properties of M λ can be derived. The combinatorial interpretation of the preimage of the so called forgotten basis of Doubilet and Rota can also be obtained by similar techniques." @default.
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- W2008038507 date "1990-07-01" @default.
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- W2008038507 title "The monomial symmetric functions and the Frobenius map" @default.
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- W2008038507 doi "https://doi.org/10.1016/0097-3165(90)90035-u" @default.
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