Abstract

The theory of Seshadri stratifications has been developed by the authors with the intention to build up a new geometric approach towards a standard monomial theory for embedded projective varieties with certain nice properties. In this article, we investigate the Seshadri stratification on a Schubert variety arising from its Schubert subvarieties. We show that the standard monomial theory developed in Littelmann (J. Am. Math. Soc. 11(3) (1998) 551–567) is compatible with this new strategy.

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