2 citations · 3 across the 5 of their papers we have counts for
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-Kreweras numbers for coincidental Coxeter groups attached to limit symbols
Dongkwan Kim
For a coincidental Coxeter group, i.e. of type or , we define the corresponding -Kreweras numbers attached to limit symbols in the sense of Shoji.…
Sign insertion and Kazhdan-Lusztig cells of affine symmetric groups
Dongkwan Kim, Pavlo Pylyavskyy
Combinatorics of Kazhdan-Lusztig cells in affine type was originally developed by Lusztig, Shi, and Xi. Building on their work, Chmutov, Pylyavskyy, and Yudovina introduced the…
Robinson-Schensted correspondence for unit interval orders
Dongkwan Kim, Pavlo Pylyavskyy
The Stanley-Stembridge conjecture associates a symmetric function to each natural unit interval order . In this paper, we define relations à la Knuth on the symmetric g…
Two-row -graphs in affine type
Dongkwan Kim, Pavlo Pylyavskyy
For affine symmetric groups we construct finite -graphs corresponding to two-row shapes, and prove their uniqueness. This gives the first non-trivial family of examples of finit…
An affine generalization of evacuation
M. Chmutov, G. Frieden, D. Kim +2
We establish the existence of an involution on tabloids that is analogous to Schutzenberger's evacuation map on standard Young tableaux. We find that the number of its fixed points…