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arxiv: 1612.08760 · v2 · pith:YU4PBOXJnew · submitted 2016-12-27 · 🧮 math.RT · math.CO

Heisenberg algebra, wedges and crystals

classification 🧮 math.RT math.CO
keywords heisenbergactionalgebracrystalwedgesadditionboson-fermioncharged
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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.

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