Cohomology rings of the plactic monoid algebra via a Grobner-Shirshov basis

被引：6
|
作者：
Lopatkin, Viktor [1 ]
机构：
[1] S China Normal Univ, Sch Math Sci, Guangzhou, Guangdong, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2016年 / 15卷 / 05期
关键词：
Plactic monoid; Groubner-Shirshov basis; Anick's resolution; Algebraic Discrete Morse Theory; MORSE-THEORY; SINGULARITIES; RESOLUTION; HOMOLOGY; VARIETY; FIELD;
D O I：
10.1142/S0219498816500821
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we calculate the cohomology ring Ext(kPln)* (k, k) and the Hochschild cohomology ring of the plactic monoid algebra kPl(n) via the Anick resolution using a Grobner-Shirshov basis.
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页数：30
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