• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제22권3호
• /
• pp.245-261
• /
• 2015

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.