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An elementary computation of the cohomology of the Fomin–Kirillov algebra with $3$ generators
Homology, Homotopy and Applications ( IF 0.8 ) Pub Date : 2020-01-01 , DOI: 10.4310/hha.2020.v22.n2.a22
Estanislao Herscovich 1
Affiliation  

We give an elementary computation of the algebra structure of the Yoneda algebra of the Fomin-Kirillov algebra FKp3q over a field characteristic different from 2 and 3, based on a new bootstrap technique we introduce and that it is built upon the (nonacyclic) Koszul complex of FKp3q. Mathematics subject classification 2010: 16S37, 16T05, 18G15.

中文翻译:

使用 $3$ 生成器对 Fomin-Kirillov 代数的上同调进行基本计算

我们在不同于 2 和 3 的场特征上给出了 Fomin-Kirillov 代数 FKp3q 的 Yoneda 代数的代数结构的基本计算,基于我们引入的一种新的引导技术,并且它建立在(非循环)Koszul 复形上FKp3q。2010年数学学科分类:16S37、16T05、18G15。
更新日期:2020-01-01
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