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- W130604013 abstract "We introduce an analogue of Schensted's algorithm for affine type A, using its natural interpretation in terms of crystals. In fact, we make explicit a particular crystal graph isomorphism between connected components of Fock spaces representations of U_q(sl^_e). This so-called canonical crystal isomorphism turns out to be expressible only in terms of: - Schensted's bumping procedure, - the cyclage isomorphism defined in [8], - a new crystal isomorphism, easy to describe, acting on cylindric multipartitions. Moreover, it yields a non-recursive characterisation of the vertices of any connected component of the crystal of the Fock space." @default.
- W130604013 created "2016-06-24" @default.
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- W130604013 date "2013-11-29" @default.
- W130604013 modified "2023-09-25" @default.
- W130604013 title "The canonical crystal isomorphism in Fock spaces" @default.
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