8 citations · 24 across the 7 of their papers we have counts for
8 papers · 1 filter
Double Rim Hook Cluster Algebras
Michael Chmutov, Pakawut Jiradilok, James Stevens
We describe an infinite family of non-Plücker cluster variables inside the double Bruhat cell cluster algebra defined by Berenstein, Fomin, and Zelevinsky. These cluster variables…
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…
Monodromy in Kazhdan-Lusztig cells in affine type A
Michael Chmutov, Joel Brewster Lewis, Pavlo Pylyavskyy
We use the affine Robinson-Schensted correspondence to describe the structure of bidirected edges in the Kazhdan-Lusztig cells in affine type A. Equivalently, we give a comprehensi…
The Berenstein-Kirillov group and cactus groups
Michael Chmutov, Max Glick, Pavlo Pylyavskyy
Berenstein and Kirillov have studied the action of Bender-Knuth moves on semistandard tableaux. Losev has studied a cactus group action in Kazhdan-Lusztig theory; in type this…
Matrix-Ball Construction of affine Robinson-Schensted correspondence
Michael Chmutov, Pavlo Pylyavskyy, Elena Yudovina
In his study of Kazhdan-Lusztig cells in affine type , Shi has introduced an affine analog of Robinson-Schensted correspondence. We generalize the Matrix-Ball Construction of Vi…
Type A Molecules are Kazhdan-Lusztig
Michael Chmutov
Let (W, S) be a Coxeter system. A W-graph is an encoding of a representation of the corresponding Iwahori-Hecke algebra. Especially important examples include the W-graph correspon…