An algorithm for semistandardising homomorphisms

JOURNAL OF ALGEBRA

卷:364

Article

Fayers, Matthew

关键词: Specht module;    Iwahori-Hecke algebra;    Homomorphism;    Semistandard tableau;   

DOI  :  10.1016/j.jalgebra.2012.04.020

来源: Elsevier

【 摘 要 】

Suppose mu is a partition of n and lambda a composition of n, and let S-mu, M-lambda denote the Specht module and permutation module defined by Dipper and James for the Iwahori-Hecke algebra H-n of the symmetric group W-n. We give an explicit fast algorithm for expressing a tableau homomorphism (phi) over cap (A) : S-mu -> M-lambda a linear combination of semistandard homomorphisms. Along the way we provide a utility result related to removing rows from tableaux. (c) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free