舒伯特变体的多投影塞沙德里分层和标准单项式理论

arXiv - MATH - Representation Theory Pub Date : 2024-09-17 DOI:arxiv-2409.11488

Henrik Müller

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摘要

利用塞沙德里分层语言，我们对拉克希米拜-塞沙德里台面及其相关的标准单数基进行了几何解释。这些台构是 Young 台构和 De-Concini 台构对所有 Dynkin 类型的概括。更确切地说，我们构造了舒伯特变项多同质坐标环的过滤，使得子项是一维的，并以标准表项为索引。

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Multiprojective Seshadri stratifications for Schubert varieties and standard monomial theory

Using the language of Seshadri stratifications we develop a geometrical interpretation of Lakshmibai-Seshadri-tableaux and their associated standard monomial bases. These tableaux are a generalization of Young-tableaux and De-Concini-tableaux to all Dynkin types. More precisely, we construct filtrations of multihomogeneous coordinate rings of Schubert varieties, such that the subquotients are one-dimensional and indexed by standard tableaux.

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arXiv - MATH - Representation Theory

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