On a conjecture of Hivert and Thi\'ery about Steenrod operators
Combinatorics
2011-05-24 v1 Representation Theory
Abstract
We prove some results related to a conjecture of Hivert and Thi\'ery about the dimension of the space of q-harmonics. In the process we compute the actions of the involved operators on symmetric and alternating functions, which have some independent interest. We then use these computations to prove other results related to the same conjecture.
Keywords
Cite
@article{arxiv.1010.4985,
title = {On a conjecture of Hivert and Thi\'ery about Steenrod operators},
author = {Michele D'Adderio and Luca Moci},
journal= {arXiv preprint arXiv:1010.4985},
year = {2011}
}
Comments
39 pages