A basis of bideterminants for the coordinate ring of the orthogonal group

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dc.creatorCliff, Gerald
dc.date2008-06-09
dc.date.accessioned2026-07-07T09:43:32Z
dc.date.available2026-07-07T09:43:32Z
dc.descriptionWe give a basis of bideterminants for the coordinate ring K[O(n)] of the orthogonal group O(n,K), where K is an infinite field of characteristic not 2. The bideterminants are indexed by pairs of Young tableaux which are O(n)-standard in the sense of King-Welsh. We also give an explicit filtration of K[O(n)] as an O(n,K)-bimodule, whose factors are isormorphic to the tensor product of orthogonal analogues of left and right Schur modules.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/0806.1538
dc.identifierhttp://arxiv.org/abs/0806.1538
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162593
dc.subjectRepresentation Theory
dc.subject20G05
dc.titleA basis of bideterminants for the coordinate ring of the orthogonal group
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