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  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.22 No.3

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JACOBI-TRUDI TYPE FORMULA FOR PARABOLICALLY SEMISTANDARD TABLEAUX

JACOBI-TRUDI TYPE FORMULA FOR PARABOLICALLY SEMISTANDARD TABLEAUX

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2015, v.22 no.3, pp.245-261
https://doi.org/10.7468/jksmeb.2015.22.3.245
KIM, JEE-HYE (DEPARTMENT OF MATHEMATICS, SUNGKYUNKWAN UNIVERSITY)
KIM, JEE-HYE. (2015). JACOBI-TRUDI TYPE FORMULA FOR PARABOLICALLY SEMISTANDARD TABLEAUX. 한국수학교육학회지시리즈B:순수및응용수학, 22(3), 245-261, https://doi.org/10.7468/jksmeb.2015.22.3.245

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 semistandard tableaux of a given generalised partition shape by using non-intersecting lattice paths.

keywords
Schur function, Jacobi-Trudi formula, Howe duality, Young tableaux

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한국수학교육학회지시리즈B:순수및응용수학

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