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arXiv 0901.0057math.RT
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Ariki范畴化定理的退化类比

The degenerate analogue of Ariki's categorification theorem

Jonathan Brundan, Alexander Kleshchev

摘要:

作为高阶Schur-Weyl对偶和有限型A中的Kazhdan-Lusztig猜想的应用,我们解释了如何在基域C上导出Ariki范畴化定理的退化模拟.我们还讨论了一些补充性的问题,包括Young模,带符号张量,倾斜模和Ringel对偶。

英文摘要:

We explain how to deduce the degenerate analogue of Ariki's categorification theorem over the ground field C as an application of Schur-Weyl duality for higher levels and the Kazhdan-Lusztig conjecture in finite type A. We also discuss some supplementary topics, including Young modules, tensoring with sign, tilting modules and Ringel duality.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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