3 papers
math.CO2025
Cell Classification of Gelfand -Graphs
Yifeng Zhang
Kazhdan--Lusztig introduced \(W\)-graphs to encode Hecke algebra representations on canonical bases, whose strongly connected components are the cells of the graph. A canonical bas…
math.CO2024
Lusztig -functions for quasiparabolic sets
Yifeng Zhang
Kazhdan and Lusztig introduce the -graphs to describe the cells and molecules corresponding to the Coxeter groups. Building on this foundation, Lusztig defines the a-funtion to…
math.RT2023
Molecules of Type- and Odd Type- Gelfand - and -Graphs
Yifeng Zhang
Gelfand -graphs provide multiplicity-free canonical models for classical Weyl groups, and their molecules record the connectivity generated by bidirected canonical-basis edges.…