Proceedings of the 28-th International Conference on Formal Power Series and Algebraic Combinatorics
4-8 Jul 2016 Vancouver, British Columbia (Canada)

Extended abstracts listed by author > Van Willigenburg Stephanie

A noncommutative geometric LR rule
Edward Richmond  1  , Vasu Tewari  2  , Stephanie Van Willigenburg  3  
1 : Oklahoma State University [Stillwater]  -  Website
Stillwater, OK 74078 -  États-Unis
2 : University of Washington (Seattle)
3 : University of British Columbia, Vancouver, BC

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. 

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