Lakshmibai, V.; Weyman, J. Multiplicities of points on a Schubert variety in a minuscule G/P. (English) Zbl 0729.14037 Adv. Math. 84, No. 2, 179-208 (1990). The authors prove the results they announced in C. R. Acad. Sci., Paris, Sér. I 307, No.20, 993-996 (1988; Zbl 0688.14045). Reviewer: H.H.Andersen (Aarhus) Cited in 4 ReviewsCited in 28 Documents MSC: 14M15 Grassmannians, Schubert varieties, flag manifolds 14M17 Homogeneous spaces and generalizations 14M05 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) Keywords:standard monomial theory; Schubert varieties; minuscule; component of singular locus PDF BibTeX XML Cite \textit{V. Lakshmibai} and \textit{J. Weyman}, Adv. Math. 84, No. 2, 179--208 (1990; Zbl 0729.14037) Full Text: DOI References: [1] Bourbaki, N, Groupes et algèbres de Lie, (1968), Hermann Paris, Chaps. 4-6 [2] Chevalley, C.C, Sur LES décompositions cellulaires des espaces \(GB\), (1958), manuscrit non publié [3] DeConcini, C, Symplectic standard tableaux, Adv. in math., 34, 1-27, (1979) [4] Demazure, M, Désingularisation des variétés de Schubert généralisées, Ann. sci. école norm. sup., 7, 53-88, (1974) · Zbl 0312.14009 [5] Kostant, B, Algebraic groups and discontinuous subgroups, () · Zbl 0830.20073 [6] Lakshmibai, V, Geometry of \(GP\), VI, J. algebra, 108, 355-402, (1987) · Zbl 0618.14027 [7] Lakshmibai, V, Geometry of \(GP\), VII, J. algebra, 108, 403-434, (1987) · Zbl 0618.14027 [8] Lakshmibai, V; Musili, C; Seshadri, C.S, Geometry of \(GP\), III, (), 93-177 · Zbl 0447.14012 [9] Lakshmibai, V; Musili, C; Seshadri, C.S, Geometry of \(GP\), IV, (), 279-362 · Zbl 0447.14013 [10] Lakshmibai, V; Seshadri, C.S, Geometry of \(GP\), II, (), 1-54 · Zbl 0447.14011 [11] Lakshmibai, V; Seshadri, C.S, Geometry of \(GP\), V, J. algebra, 100, 462-557, (1986) · Zbl 0618.14026 [12] Lakshmibai, V; Seshadri, C.S, Singular locus of a Schubert variety, Bull. amer. math. soc., 2, No. 2, 363-366, (1984) · Zbl 0549.14016 [13] Lakshmibai, V; Weyman, J, Multiplicités sur une variété de Schubert dans un minuscule \(GP\), Comptes rendus, 307, 993-996, (1988), Serie I · Zbl 0688.14045 [14] Lascoux, A, Foncteurs de Schur et grassmannienne, () [15] Macdonald, I.G, Symmetric functions and Hall polynomials, (1979), Oxford Univ. Press Oxford · Zbl 0487.20007 [16] Seshadri, C.S, Geometry of \(GP\) I, (), 207-239 [17] Svanes, P, Coherent cohomology on Schubert subschemes of flag schemes, Adv. in math., 14, 369-453, (1974) · Zbl 0308.14008 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.