Christian Krattenthaler
Published 2000-11-17Version 1
We answer some questions related to multiplicity formulas by Rosenthal and Zelevinsky and by Lakshmibai and Weyman for points on Schubert varieties in Grassmannians. In particular, we give combinatorial interpretations in terms of nonintersecting lattice paths of these formulas, which makes the equality of the two formulas immediately obvious. Furthermore we provide an alternative determinantal formula for these multiplicities, and we show that they count semistandard tableaux of unusual shapes.
Comments: 10 pages, AmS-TeX
Journal: S\'eminaire Lotharingien Combin. 45 (2001), Article B45c, 11 pp
On multiplicities of points on Schubert varieties in Graszmannians II
Intersections of Schubert varieties and other permutation array schemes
Tangent cones to Schubert varieties in types $A_n$, $B_n$ and $C_n$
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