@article{Z09, author = "Paul Zinn-Justin", title = "{Littlewood--Richardson} coefficients and integrable tilings", journal = "The Electronic Journal of Combinatorics", volume = "16", number = "1", year = "2009" } @article{M08, author = "Sarah Mason", title = "A decomposition of {Schur} functions and an analogue of the {Robinson--Schensted--Knuth} algorithm", journal = "S\'eminaire Lotharingien de Combinatoire", volume = "57", year = "2008", pages = "B57e (24 pages)" } @article{WZ19, author = "Michael Wheeler and Paul Zinn-Justin", title = "{Littlewood--Richardson} coefficients for {Grothendieck} polynomials from integrability", journal = "Journal f{\"u}r die Reine und Angewandte Mathematik", volume = "2019", number = "757", year = "2019", pages = "159--195" } @article{BBBG21, author = "Ben Brubaker and Valentin Buciumas and Daniel Bump and Henrik P. A. Gustafsson", title = "Colored five-vertex models and {Demazure} atoms", journal = "Journal of Combinatorial Theory", series = "A", volume = "178", year = "2021", pages = "159--195" } @article{BW22, author = "Alexei Borodin and Michael Wheeler", title = "Nonsymmetric {Macdonald} polynomails via integrable vertex models", journal = "Transactions of the American Mathematical Society", volume = "375", year = "2022", pages = "8353--8397" } @article{M09, author = "Sarah Mason", title = "An explicit construction of type {A} {Demazure} atoms", journal = "Journal of Algebraic Combinatorics", volume = "29", year = "2009", pages = "295--313" } @article{HLMW11, author = "J. Haglund and K. Luoto and S. Mason and S. van Willigenburg", title = "Refinements of the {Littlewood--Richardson} rule", journal = "Transactions of the American Mathematical Society", volume = "363", number = "3", year = "2011", pages = "1665--1686" } @article{KTW03, author = "Allen Knutson and Terence Tao and Christopher Woodward", title = "The honeycomb model of {$GL_n(\mathbb{C})$} tensor products {II}: puzzles determine facets of the {Littlewood--Richardson} cone", journal = "Journal of the American Mathematical Society", volume = "17", number = "1", pages = "19--48", year = "2003" } @article{KT03, author = "Allen Knutson and Terence Tao", title = "Puzzles and (equivariant) cohomology of {Grassmannians}", journal = "Duke Mathematical Journal", volume = "119", number = "2", pages = "221--260", year = "2003" } @misc{KZ20, author = "Allen Knutson and Paul Zinn-Justin", title = "{Schubert} puzzles and integrability {I}: invariant trilinear forms", eprint = "1706.10019", eprinttype = "arxiv", year = "2020" } @misc{KZ21, author = "Allen Knutson and Paul Zinn-Justin", title = "{Schubert} puzzles and integrability {II}: multiplying motivic Segre classes", eprint = "2102.00563", eprinttype = "arxiv", year = "2021" } @misc{KZ23, author = "Allen Knutson and Paul Zinn-Justin", title = "{Schubert} puzzles and integrability {III}: separated descents", eprint = "2306.13855", eprinttype = "arxiv", year = "2023" }