26 citations · 58 across the 17 of their papers we have counts for
19 papers
Leading term strandings for webs
Michael Bo, Madelyn Burns, Junyang Chen +7
A web is a plane graph encoding an invariant vector in a tensor product of fundamental representations of a quantum group. A stranding of an web is a system of co…
RSK tableaux and the weak order on fully commutative permutations
Emily Gunawan, Jianping Pan, Heather M. Russell +1
For each fully commutative permutation, we construct a "boolean core," which is the maximal boolean permutation in its principal order ideal under the right weak order. We partitio…
Runs and RSK tableaux of boolean permutations
Emily Gunawan, Jianping Pan, Heather M. Russell +1
We define and construct the "canonical reduced word" of a boolean permutation, and show that the RSK tableaux for that permutation can be read off directly from this reduced word.…
The transition matrix between the Specht and web bases is unitriangular with respect to shadow containment
Heather M. Russell, Julianna Tymoczko
Webs are planar graphs with boundary that describe morphisms in a diagrammatic representation category for . They are studied extensively by knot theorists because…
Equivalence of edge bicolored graphs on surfaces
Oliver T. Dasbach, Heather M. Russell
Consider the collection of edge bicolorings of a graph that is cellularly embedded on an orientable surface. In this work, we count the number of equivalence classes of such colori…
The transition matrix between the Specht and web bases is unipotent with additional vanishing entries
Heather M. Russell, Julianna S. Tymoczko
We compare two important bases of an irreducible representation of the symmetric group: the web basis and the Specht basis. The web basis has its roots in the Temperley-Lieb algebr…