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- W4382319592 abstract "In paper I of this series we gave positive formulae for expanding the product $mathfrak S^pi mathfrak S^rho$ of two Schubert polynomials, in the case that both $pi,rho$ had shared descent set of size $leq 3$. Here we introduce and give positive formulae for two new classes of Schubert product problems: separated descent in which $pi$'s last descent occurs at (or before) $rho$'s first, and almost separated descent in which $pi$'s last two descents occur at (or before) $rho$'s first two respectively. In both cases our puzzle formulae extend to $K$-theory (multiplying Grothendieck polynomials), and in the separated descent case, to equivariant $K$-theory. The two formulae arise (via quantum integrability) from fusion of minuscule quantized loop algebra representations in types $A$, $D$ respectively." @default.
- W4382319592 created "2023-06-28" @default.
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- W4382319592 date "2023-06-24" @default.
- W4382319592 modified "2023-09-25" @default.
- W4382319592 title "Schubert puzzles and integrability III: separated descents" @default.
- W4382319592 doi "https://doi.org/10.48550/arxiv.2306.13855" @default.
- W4382319592 hasPublicationYear "2023" @default.
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