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math.CO2021★ 2 cited
Extending the descent-to-peak map and its applications
Farid Aliniaeifard, Shu Xiao Li
The descent-to-peak map serves as a bridge between algebra and combinatorics. We use it as a tool for proving the equidistribution of peak and valley sets of standard Young tableau…
math.CO2021
Schur functions in noncommuting variables
Farid Aliniaeifard, Shu Xiao Li, Stephanie van Willigenburg
In 2004 Rosas and Sagan asked whether there was a way to define a basis in the algebra of symmetric functions in noncommuting variables, NCSym, having properties analogous to the c…