Prime ideals in the quantum grassmannian

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dc.creatorLaunois, S
dc.creatorLenagan, T H
dc.creatorRigal, L
dc.date2007-08-06
dc.date.accessioned2026-07-07T08:22:19Z
dc.date.available2026-07-07T08:22:19Z
dc.descriptionWe consider quantum Schubert cells in the quantum grassmannian and give a cell decomposition of the prime spectrum via the Schubert cells. As a consequence, we show that all primes are completely prime in the generic case where the deformation parameter q is not a root of unity. There is a torus H that acts naturally on the quantum grassmannian and the cell decomposition of the set of H-primes leads to a parameterisation of the H-spectrum via certain diagrams on partitions associated to the Schubert cells. Interestingly, the same parameterisation occurs for the non-negative cells in recent studies concerning the totally non-negative grassmannian. Finally, we use the cell decomposition to establish that the quantum grassmannian satisfies normal separation and catenarity.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0708.0744
dc.identifierhttp://arxiv.org/abs/0708.0744
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135618
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.subjectRings and Algebras
dc.titlePrime ideals in the quantum grassmannian
dc.typetext

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