Equality of multiplicity free skew characters |
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Authors: | Christian Gutschwager |
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Affiliation: | 1.Institut für Algebra, Zahlentheorie und Diskrete Mathematik,Leibniz Universit?t Hannover,Hannover,Germany |
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Abstract: | In this paper we show that two skew diagrams λ/μ and α/β can represent the same multiplicity free skew character [λ/μ]=[α/β] only in the the trivial cases when λ/μ and α/β are the same up to translation or rotation or if λ=α is a staircase partition λ=(l,l−1,…,2,1) and λ/μ and α/β are conjugate of each other. |
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Keywords: | Skew characters Symmetric group Skew Schur functions Schubert calculus |
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