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Egecioglu and Remmel [1] gave a combinatorial interpretation for the entries of the inverse Kostka matrix K-1. Using this interpretation Sagan and Lee [8] constructed a sign reversing involution on special rim hook tableaux.
In this paper we generalize Sagan and Lee's algorithm on special rim hook tableaux to give a combinatorial partial proof of K-1 K=I.
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참고문헌 (11)
참고문헌 신청
B. Lindstrom / 1973 / On the vector representation of induced matroids / Bull. Lond. Math. Soc. 5 : 85 ~ 90
B. Sagan / 2001 / The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions, 2nd edition / Springer-Verlag
B. Sagan / 2006 / An algorithmic sign-reversing involution for special rim-hook tableaux / J. Algorithms 59 : 149 ~ 161
D. Stanton / 1985 / A Schensted correspondence for rim hook tableaux / J. Combin. Theory Ser. A40 : 211 ~ 247
D. White / 1983 / A bijection proving orthogonality of the characters of Sn / Adv. Math. 50 : 160 ~ 186
B. Sagan / 2001 / The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions, 2nd edition / Springer-Verlag
B. Sagan / 2006 / An algorithmic sign-reversing involution for special rim-hook tableaux / J. Algorithms 59 : 149 ~ 161
D. Stanton / 1985 / A Schensted correspondence for rim hook tableaux / J. Combin. Theory Ser. A40 : 211 ~ 247
D. White / 1983 / A bijection proving orthogonality of the characters of Sn / Adv. Math. 50 : 160 ~ 186
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