Tableau atoms and a new Macdonald positivity conjecture

L. Lapointe, A. Lascoux, J. Morse

Let $\Lambda$ be the space of symmetric functions and $V_k$ be the subspace spanned by the modified Schur functions $\{S_{\lambda }[X/(1-t)]{\}}_{{\lambda }_1\le k}$. We introduce a new family of symmetric…