Polynomially and Infinitesimally Injective Modules
Polynomially and Infinitesimally Injective Modules
复制标题
多项式和无穷小内射模
DOI：
10.1016/j.jalgebra.2013.05.033
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Haralampos Geranios
中科院分区：
文献类型：
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作者：
S. Donkin;Haralampos Geranios
一般n次线性群G的内射多项式模用至多n个部分的分拆来标号。在一个特征为p的代数闭域上，我们考虑了G的李代数的限制包络代数的多项式内射模与多项式内射模的对应问题.这个问题与一般多项式模的“整除指数”有关，并且对于n= 2给出了明确的答案。
The injective polynomial modules for a general linear group G of degree n are labelled by the partitions with at most n parts. Working over an algebraically closed field of characteristic p, we consider the question of which partitions correspond to polynomially injective modules that are also injective as modules for the restricted enveloping algebra of the Lie algebra of G. The question is related to the “index of divisibility” of a polynomial module in general, and an explicit answer is given for n= 2.
DOI：
10.48550/arxiv.1704.02410
发表时间：
2017
期刊：
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影响因子：
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作者：
Donkin S
通讯作者：
Donkin S