Heisenberg algebra, wedges and crystals
arXiv:1612.08760
Abstract
We explain how the action of the Heisenberg algebra on the space of q-deformed wedges yields the Heisenberg crystal structure on charged multipartitions, by using the boson-fermion correspondence and looking at the action of the Schur functions at q = 0. In addition, we give the explicit formula for computing this crystal in full generality.