Young diagrams and simple constituents of the Specht modules

Hieda, Yoshimasa; Tsushima, Yukio

Osaka J. Math., Tome 43 (2006) no. 2, p. 475-483 / Harvested from Project Euclid

Résumé

We discuss the simple constituents of Specht module $S^{\lambda}$ for the symmetric group $S_n$ defined over the field of $p$ elements. We firstly give an easier proof to the result in [6] which asserts that there exists a simple constituent of $S^{\lambda}$ with the shape of ``a branch'' of $\lambda$ (Theorem 3.3), and secondly give a sufficient condition for $\lambda$ to have a particular type branch as a constituent (Proposition 3.4).

Publié le : 2006-09-14
Classification: 20C30

@article{1159189997,
     author = {Hieda, Yoshimasa and Tsushima, Yukio},
     title = {Young diagrams and simple constituents of the Specht modules},
     journal = {Osaka J. Math.},
     volume = {43},
     number = {2},
     year = {2006},
     pages = { 475-483},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1159189997}
}

Hieda, Yoshimasa; Tsushima, Yukio. Young diagrams and simple constituents of the Specht modules. Osaka J. Math., Tome 43 (2006) no. 2, pp.  475-483. http://gdmltest.u-ga.fr/item/1159189997/