Ring theoretic properties of quantum grassmannians

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dc.creatorKelly, A C
dc.creatorLenagan, T H
dc.creatorRigal, L
dc.date2002-08-21
dc.date.accessioned2026-07-07T04:50:19Z
dc.date.available2026-07-07T04:50:19Z
dc.descriptionThe m x n quantum grassmannian, G_q(m,n), is the subalgebra of the algebra of m x n quantum matrices that is generated by the maximal m x m quantum minors. Several properties of G_q(m,n) are established. In particular, a basis of G_q(m,n) is obtained, and it is shown that G_q(m,n) is a noetherian domain of Gelfand-Kirillov dimension m(n-m)+1. The algebra G_q(m,n) is identified as the subalgebra of coinvariants of a natural left coaction of the m x m quantum special linear group on the algebra of m x n quantum matrices and it is shown that G_q(m,n) is a maximal order.
dc.description22 pages, xypic diagram
dc.identifierhttps://arxiv.org/abs/math/0208152
dc.identifierhttp://arxiv.org/abs/math/0208152
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64748
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16W35, 20G42
dc.titleRing theoretic properties of quantum grassmannians
dc.typetext

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