Equality of multiplicity free skew characters
Combinatorics
2009-08-31 v3 Representation Theory
Abstract
In this paper we show that two skew diagrams lambda/mu and alpha/beta can represent the same multiplicity free skew character [lambda/mu]=[alpha/beta] only in the the trivial cases when lambda/mu and alpha/beta are the same up to translation or rotation or if lambda=alpha is a staircase partition lambda=(l,l-1,...,2,1) and lambda/mu and alpha/beta are conjugate of each other.
Cite
@article{arxiv.0806.1879,
title = {Equality of multiplicity free skew characters},
author = {Christian Gutschwager},
journal= {arXiv preprint arXiv:0806.1879},
year = {2009}
}
Comments
16 pages, changes from v1 to v2: corrected the proof of Theorem 3.5 and some typos, changes from v2 to v3: minor layout change, enumeration changed, to appear in J. Algebraic Combin