Standard monomial bases and geometric consequences for certain rings of invariants

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dc.creatorLakshmibai, V.
dc.creatorShukla, P.
dc.date2005-06-05
dc.date.accessioned2026-07-07T05:20:32Z
dc.date.available2026-07-07T05:20:32Z
dc.descriptionConsider the diagonal action of $SL_n(K)$ on the affine space $X=V^{\oplus m}\oplus (V^*)^{\oplus q}$ where $V=K^n, K$ an algebraically closed field of arbitrary characteristic and $m,q>n$. We construct a "standard monomial" basis for the ring of invariants $K[X]^{SL_n(K)}$. As a consequence, we deduce that $K[X]^{SL_n(K)}$ is Cohen-Macaulay. We also present the first and second fundamental theorems for $SL_n(K)$-actions.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/math/0506088
dc.identifierhttp://arxiv.org/abs/math/0506088
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75410
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject17B05; 17B10
dc.titleStandard monomial bases and geometric consequences for certain rings of invariants
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