Examples of support varieties for Hopf algebras with noncommutative tensor products

Examples of support varieties for Hopf algebras with noncommutative tensor products
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具有非交换张量积的 Hopf 代数的支持簇示例

DOI:
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发表时间:
2013
期刊:
影响因子:
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通讯作者:
S. Witherspoon
S. Witherspoon
中科院分区:
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文献类型:
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作者:
D. Benson;S. Witherspoon

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一些Hopf代数的表示有奇怪的行为:非投射模可能有投射张量积幂,并且模的张量积的簇可能不包含在它们簇的交集中。我们解释了一个家庭的例子,这样的霍普夫代数和他们的模块,并分类左,右,双侧理想在其稳定的模块类别。
The representations of some Hopf algebras have curious behavior: Nonprojective modules may have projective tensor powers, and the variety of a tensor product of modules may not be contained in the intersection of their varieties. We explain a family of examples of such Hopf algebras and their modules, and classify left, right, and two-sided ideals in their stable module categories.
DOI: 10.4007/annals.2011.174.3.6
发表时间: 2008-10
期刊: arXiv: Representation Theory
影响因子: --
作者:
D. Benson;S. Iyengar;H. Krause
通讯作者: D. Benson;S. Iyengar;H. Krause
DOI: 10.24033/asens.2076
发表时间: 2007-02
影响因子: 1.9
作者:
D. Benson;S. Iyengar;H. Krause
通讯作者: D. Benson;S. Iyengar;H. Krause