The construction of a class of presentations for Specht modules
The electronic journal of combinatorics, Tome 32 (2025) no. 1
We build on the methods introduced by Friedmann, Hanlon, Stanley, and Wachs, and further developed by Brauner and Friedmann, to construct additional classes of presentations of Specht modules. We obtain these presentations by defining a linear operator which is a symmetrized sum of dual Garnir relations on the space of column tabloids. Our presentations apply to the vast majority of shapes of Specht modules.
DOI :
10.37236/13582
Classification :
05E10, 20C30, 17A42
Mots-clés : dual Garnir relations on the space of column tabloids
Mots-clés : dual Garnir relations on the space of column tabloids
Affiliations des auteurs :
Tamar Friedmann  1
@article{10_37236_13582,
author = {Tamar Friedmann},
title = {The construction of a class of presentations for {Specht} modules},
journal = {The electronic journal of combinatorics},
year = {2025},
volume = {32},
number = {1},
doi = {10.37236/13582},
zbl = {1564.05360},
url = {http://geodesic.mathdoc.fr/articles/10.37236/13582/}
}
Tamar Friedmann. The construction of a class of presentations for Specht modules. The electronic journal of combinatorics, Tome 32 (2025) no. 1. doi: 10.37236/13582
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