Equality of multiplicity free skew characters

Details Equality of multiplicity free skew characters Equality of multiplicity free skew characters

2008-06-11

arxiv.org/abs/0806.1879v3

J. Algebraic Combin. (2009) 30: 215-232

Mathematics

Combinatorics

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

Scientific paper

10.1007/s10801-008-0158-8

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.

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