Misc.
Annotated list of papers
Annotated list of papers
Bijective projections on parabolic quotients of affine Weyl groups (joint with Elizabeth Milićević (Beazley), Margaret Nichols, Min Hae Park, and XaoLin Shi) || Journal of Algebraic Combinatorics / arXiv
In previous work of Berg--Jones--Vazirani there was introduced a bijection between two sets of certain combinatorial objects of representation theoretic signifiance. Namely, there was a bijection between n-cores with first part equal to k and (n-1)-cores with first part less than or equal to k. In this article we develop techniques using the associated affine hyperplane arrangement to interpret this bijection geometrically as a projection of alcoves onto the hyperplane containing their coroot lattice points.