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Flip classes and elementary expansions of vertical-strip LLT polynomials

Alexandersson, Per et al.
arXiv (All) · Papers
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05a1905c2005e05combinatoricsrepresentation-theory
After the substitution $q\mapsto q+1$, vertical-strip LLT polynomials are weighted sums of strict $P$-partition generating functions indexed by orientations of decorated unit-interval graphs, with weight $q^{\mathrm{asc}(θ)}$. A flip moves an ascending edge across a triangle while keeping its long e
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