Page 33 - Textos de Matemática Vol. 39

JEU DE TAQUIN, INVARIANT FACTORS 23
1 (4)G=11122,θ1G=11222.U=P(23),T=• 1 1 and
•••22
1
T ′ = • 2 1 . The corresponding operations on the indexing set words
•••22
are displayed in examples (4.1), (4.3).
Open Problem: Let σ ∈< s1,s2 > and θ ∈< θ1,θ2 > with the same reduced word. Let F be a three-letter SSYT of partition shape, and σT the SSYT realized by ∆μ,UDF. Describe the hexagon {σT : σ ∈< s1,s2 >}.
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