The Delta Conjecture at q=1 [article]

Marino Romero
2016 arXiv   pre-print
We use a weight-preserving, sign-reversing involution to find a combinatorial expansion of Δ_e_k e_n at q=1 in terms of the elementary symmetric function basis. We then use a weight-preserving bijection to prove the Delta Conjecture at q=1. The method of proof provides a variety of structures which can compute the inner product of Δ_e_k e_n|_q=1 with any symmetric function.
arXiv:1609.04865v1 fatcat:6mvygghcuveovo3vi64zhk3zga