Diagonal vectors of shifted Young tableaux

Details Diagonal vectors of shifted Young tableaux Diagonal vectors of shifted Young tableaux

2008-03-14

arxiv.org/abs/0803.2253v2

Mathematics

Combinatorics

8 pages, 5 figures, corrected typos, added references

Scientific paper

We study vectors formed by entries on the diagonal of standard Young tableaux
of shifted shapes. Such vectors are in bijection with integer lattice points of
certain integral polytopes, which are Minkowski sums of simplices. We also
describe vertices of these polytopes, and construct corresponding shifted Young
tableaux.

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