Takiff超代数的半简单扩展的表示理论

arXiv: Representation Theory Pub Date : 2020-05-23 DOI:10.1093/IMRN/RNAB149

Shun-Jen Cheng, K. Coulembier

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引用次数: 4

摘要

我们研究了一个Takiff超代数的半简单扩展，它具有非常丰富的表示理论。我们确定了有限维和BGG模范畴中的块，并对Borel子代数进行了分类。我们进一步计算了两个有限维简单对象之间的所有可拓群，并证明了有限维模范畴中的所有非主块都是Koszul。

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Representation Theory of a Semisimple Extension of the Takiff Superalgebra

We study a semisimple extension of a Takiff superalgebra which turns out to have a remarkably rich representation theory. We determine the blocks in both the finite-dimensional and BGG module categories and also classify the Borel subalgebras. We further compute all extension groups between two finite-dimensional simple objects and prove that all non-principal blocks in the finite-dimensional module category are Koszul.

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arXiv: Representation Theory

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