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典型群的Pieri分解

Pieri resolutions for classical groups

Steven V Sam, Jerzy Weyman

备注：
40 pages, no figures; v2: corrections to sections 2.2, 3.1, 3.3, and some typos; v3: important corrections to sections 2.2, 2.3 and Prop. 4.9 added, plus other minor corrections; v4: added assumptions to Theorem 3.6 and updated its proof; v5: Older versions misrepresented Peter Olver's results. See "New in this version" at the end of the introduction for more details
发表信息：
J. Algebra 329 (2011), 222-259
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摘要：

我们推广了Eisenbud，Fløystad和Weyman关于一般线性群上的等变极小自由分解的构造，并构造了正交群和辛群上的等变归结.我们还猜想并提供了一些部分结果的存在性的等变模拟的Boij-Söderberg分解的Betti表，这被证明存在于非等变设置Eisenbud和Schreyer。列举了许多实例。

英文摘要：

We generalize the constructions of Eisenbud, Fløystad, and Weyman for equivariant minimal free resolutions over the general linear group, and we construct equivariant resolutions over the orthogonal and symplectic groups. We also conjecture and provide some partial results for the existence of an equivariant analogue of Boij-Söderberg decompositions for Betti tables, which were proven to exist in the non-equivariant setting by Eisenbud and Schreyer. Many examples are given.

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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