3 papers
math.CO2026
Dual Affine Robinson-Schensted Correspondence
Daoji Huang, Sylvester W. Zhang
We introduce the dual affine Robinson-Schensted correspondence that gives a bijection between the extended affine symmetric group and tuples , where $\bar{P…
math.CO2025
Higher Dimer Covers on Snake Graphs
Gregg Musiker, Nicholas Ovenhouse, Ralf Schiffler +1
Snake graphs are a class of planar graphs that are important in the theory of cluster algebras. Indeed, the Laurent expansions of the cluster variables in cluster algebras from sur…
math.CO2024
Schubert Calculus and the Heisenberg Algebra
Sylvester W. Zhang
We show that the Hilbert space with basis indexed by infinite permutations and the cohomology ring of the infinite flag variety can be seen as representations of the Heisenberg alg…