$3$发生器上fomo - kirillov代数的Hochschild和循环(co)同调

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Noncommutative Geometry Pub Date : 2023-10-19 DOI:10.4171/jncg/525

Estanislao Herscovich, Ziling Li

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引用次数: 0

摘要

本文的目的是显式地计算在特征不同于$2$和$3$的域上的三个生成元上的fmin - kirillov代数的Hochschild (co)同调。在场的特征为零的情况下，我们还得到了fomo - kirillov代数的循环(co)同调。此外，我们还计算了Hochschild上同调的代数结构。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hochschild and cyclic (co)homology of the Fomin–Kirillov algebra on $3$ generators

The goal of this article is to explicitly compute the Hochschild (co)homology of the Fomin–Kirillov algebra on three generators over a field of characteristic different from $2$ and $3$. We also obtain the cyclic (co)homology of the Fomin–Kirillov algebra in case the characteristic of the field is zero. Moreover, we compute the algebra structure of the Hochschild cohomology.

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来源期刊

Journal of Noncommutative Geometry 数学-数学

CiteScore

1.60

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Noncommutative Geometry covers the noncommutative world in all its aspects. It is devoted to publication of research articles which represent major advances in the area of noncommutative geometry and its applications to other fields of mathematics and theoretical physics. Topics covered include in particular: Hochschild and cyclic cohomology K-theory and index theory Measure theory and topology of noncommutative spaces, operator algebras Spectral geometry of noncommutative spaces Noncommutative algebraic geometry Hopf algebras and quantum groups Foliations, groupoids, stacks, gerbes Deformations and quantization Noncommutative spaces in number theory and arithmetic geometry Noncommutative geometry in physics: QFT, renormalization, gauge theory, string theory, gravity, mirror symmetry, solid state physics, statistical mechanics.