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JACOBI-TRUDI TYPE FORMULA FOR PARABOLICALLY SEMISTANDARD TABLEAUX

Jee-Hye Kim
한국수학교육학회|2015.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제22권 제3호|pp. 245-261

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참고문헌

키워드

Schur functionJacobi-Trudi formulaHowe dualityYoung tableaux.
주제분류수학

초록

The notion of a parabolically semistandard tableau is a generalisation of Young tableau, which explains combinatorial aspect of various Howe dualities of type A.We prove a Jacobi-Trudi type formula for the character of parabolically semi- standard tableaux of a given generalised partition shape by using non-intersecting lattice paths.

Abstract

The notion of a parabolically semistandard tableau is a generalisation of Young tableau, which explains combinatorial aspect of various Howe dualities of type A.We prove a Jacobi-Trudi type formula for the character of parabolically semi- standard tableaux of a given generalised partition shape by using non-intersecting lattice paths.

참고문헌 (16)

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  12. J.-H. Kwon, "Rational semistandard tableaux and character formula for the Lie superal-gebra bgl1j1", Adv. Math, 217, pp.713~739 (2008)
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