Tilting equivalences: from hereditary algebras to symmetric groups

Tilting equivalences: from hereditary algebras to symmetric groups
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倾斜等价:从遗传代数到对称群

DOI:
10.1016/j.jalgebra.2008.02.015
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发表时间:
2008
期刊:
影响因子:
0.9
通讯作者:
W. Turner
W. Turner
中科院分区:
数学3区
文献类型:
--
作者:
W. Turner

文献摘要

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我们研究了有限维遗传代数的Koszul对偶性,以及对平凡扩展代数、Schur代数、Schur双代数的对偶和Schur双代数的变形的各种推广。我们描述了对称群的模表示理论的应用。
We study Koszul duality for finite dimensional hereditary algebras, and various generalisations to trivial extension algebras, to Schur algebras, to doubles of Schur bialgebras, and to deformations of doubles of Schur bialgebras. We describe applications to the modular representation theory of symmetric groups.