The Schur superpolynomial identification conjecture
The Schur superpolynomial identification conjecture
A superpartition is denoted by ; let be the combinatorially defined Schur superpolynomial and let be the specialization at of the Macdonald superpolynomial. Their Kostka coefficients are denoted by and , respectively. Schur superpolynomial identification conjecture.
equivalently,
This conjecture identifies the combinatorial construction with the Macdonald-superpolynomial specialization and supplies the intended link between the two descriptions; the source gives no resolution status.
Sources & referencesView supporting material
Primary source
Olivier Blondeau-Fournier and Pierre Mathieu, “Schur Superpolynomials: Combinatorial Definition and Pieri Rule”, arXiv:1408.2807 (2015).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.