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Localization of IC-complexes on Kashiwara’s flag scheme and representations of Kac–Moody algebras
Indagationes Mathematicae ( IF 0.5 ) Pub Date : 2021-07-08 , DOI: 10.1016/j.indag.2021.06.008 Giovanna Carnovale 1 , Francesco Esposito 1 , Peter Fiebig 2
中文翻译:
Kashiwara 标志方案上 IC 配合物的定位和 Kac-Moody 代数的表示
更新日期:2021-07-08
Indagationes Mathematicae ( IF 0.5 ) Pub Date : 2021-07-08 , DOI: 10.1016/j.indag.2021.06.008 Giovanna Carnovale 1 , Francesco Esposito 1 , Peter Fiebig 2
Affiliation
We study equivariant localization of intersection cohomology complexes on Schubert varieties in Kashiwara’s flag manifold. Using moment graph techniques we establish a link to the representation theory of Kac–Moody algebras and give a new proof of the Kazhdan–Lusztig conjecture for blocks containing an antidominant element.
中文翻译:
Kashiwara 标志方案上 IC 配合物的定位和 Kac-Moody 代数的表示
我们研究了柏原旗流形中舒伯特变体上交集上同调复合物的等变定位。使用矩图技术,我们建立了与 Kac-Moody 代数表示理论的链接,并为包含反支配元素的块提供了 Kazhdan-Lusztig 猜想的新证明。