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Alternating dual Pieri rule conjecture and $k$-branching conjecture of closed $k$-Schur Katalan functions by Fang, Yaozhou; Gao, Xing is a scholarly article available to read on EtoBox.

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For closed $k$-Schur Katalan functions $\fg{\lambda}{k}$ with $k$ a positive integer and $\lambda$ a $k$-bounded partition, Blasiak, Morse and Seelinger proposed the alternating dual Pieri rule conjecture and the $k$-branching conjecture. In the present paper, we positively prove the first one for large enough $k$ and for strictly decreasing partitions $\lambda$ respectively, as well as the second one for strictly decreasing partitions $\lambda$.

Author

Fang, Yaozhou; Gao, Xing

Published

2025

Language

EN