Abstract
We extend the results of the standard monomial theory to the cotangent variety of the Grassmannian, . We exhibit a standard basis in terms of triples of tableaux. We are also able to show that is arithmetically Cohen–Macaulay and normal in all characteristics. Results on Cohen–Macaulayness and normality are shown for other algebraic groups and cominuscule parabolic subgroups, but only in characteristic zero.
Citation
Marcus Fries. "COTANGENT BUNDLES OF MINUSCULE ." J. Commut. Algebra 15 (3) 321 - 334, Fall 2023. https://doi.org/10.1216/jca.2023.15.321
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