Graded Cartan determinants of the symmetric groups
Representation Theory
2012-05-02 v1 Quantum Algebra
Abstract
We give the graded Cartan determinants of the symmetric groups. Based on it, we propose a gradation of Hill's conjecture which is equivalent to K\"ulshammer-Olsson-Robinson's conjecture on the generalized Cartan invariants of the symmetric groups.
Keywords
Cite
@article{arxiv.1205.0185,
title = {Graded Cartan determinants of the symmetric groups},
author = {Shunsuke Tsuchioka},
journal= {arXiv preprint arXiv:1205.0185},
year = {2012}
}
Comments
26 pages