Geodesic
A noncommutative geometric LR rule
Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020).

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The geometric Littlewood-Richardson (LR) rule is a combinatorial algorithm for computing LR coefficients derived from degenerating the Richardson variety into a union of Schubert varieties in the Grassmannian. Such rules were first given by Vakil and later generalized by Coskun. In this paper we give a noncommutative version of the geometric LR rule. As a consequence, we establish a geometric explanation for the positivity of noncommutative LR coefficients in certain cases. 
@article{DMTCS_2020_special_379_a49,
     author = {Richmond, Edward and Tewari, Vasu and Van Willigenburg, Stephanie},
     title = {A noncommutative geometric {LR} rule},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)},
     year = {2020},
     doi = {10.46298/dmtcs.6367},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6367/}
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Richmond, Edward; Tewari, Vasu; Van Willigenburg, Stephanie. A noncommutative geometric LR rule. Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020). doi : 10.46298/dmtcs.6367. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6367/

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