Abstract
We show that there is an affine Schubert variety in the infinite-dimensional partial Flag variety (associated to the two-step parabolic subgroup of the Kac–Moody group , corresponding to omitting α 0; α d ) which is a natural compactification of the cotangent bundle to the Grassmann variety.
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V. Kac, Infinite-Dimensional Lie Algebras, 3rd editon, Cambridge University Press, Cambridge, 1990.
V. Lakshmibai, C. S. Seshadri, Geometry of G/P, II, Proc. Ind. Acad. Sci. 87A (1978), 1–54.
G. Lusztig, Canonical bases arising from quantized enveloping algebras, J. Amer. Math. Soc. 3 (1990), 447–498.
I. Mirkovic, M. Vybornov, On quiver varieties and affine Grassmannians of type A, C. R. Math. Acad. Sci. Paris 336 (2003), no. 3, 207–212.
E. Strickland, On the conormal bundle of the determinantal variety, J. Algebra 75 (1982), 523–537.
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*Partially supported by NSA grant H98230-11-1-0197, NSF grant 0652386.
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LAKSHMIBAI, V. COTANGENT BUNDLE TO THE GRASSMANN VARIETY. Transformation Groups 21, 519–530 (2016). https://doi.org/10.1007/s00031-015-9356-3
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DOI: https://doi.org/10.1007/s00031-015-9356-3