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math.CO2024
LLT Polynomials and Hecke Algebra Traces
Alejandro H. Morales, Mark A. Skandera, Jiayuan Wang
We show that coefficients in unicellular LLT polynomials are evaluations of Hecke algebra traces at Kazhdan-Lusztig basis elements. We express these in terms of traditional trace b…
math.CO2024
Permanental inequalities for totally positive matrices
Mark Skandera, Daniel Soskin
We characterize ratios of permanents of (generalized) submatrices which are bounded on the set of all totally positive matrices. This provides a permanental analog of results of Fa…
math.CO2024
Hyperoctahedral group characters and a type-BC analog of graph coloring
Mark Skandera
We state combinatorial formulas for hyperoctahedral group () character evaluations of the form $χ( {{\widetilde C}_w}^{\negthickspace\negthickspace BC}\negthickspace…