Email this article Gröbner–Shirshov bases for some Lie algebras
- Authors: Chen Y.1, Li Y.2, Tang Q.1
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Affiliations:
- School of Mathematical Sciences
- Department of Mathematics
- Issue: Vol 58, No 1 (2017)
- Pages: 176-182
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171034
- DOI: https://doi.org/10.1134/S0037446617010220
- ID: 171034
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Abstract
We give Gröbner–Shirshov bases for the Drinfeld–Kohno Lie algebra Ln in [1] and the Kukin Lie algebra AP in [2], where P is a semigroup. By way of application, we show that Ln is free as a ℤ-module and exhibit a ℤ-basis for Ln. We give another proof of the Kukin Theorem: If P has the undecidable word problem then so isAP.
About the authors
Yu. Chen
School of Mathematical Sciences
Author for correspondence.
Email: yqchen@scnu.edu.cn
China, Guangzhou
Y. Li
Department of Mathematics
Email: yqchen@scnu.edu.cn
China, Huizhou
Q. Tang
School of Mathematical Sciences
Email: yqchen@scnu.edu.cn
China, Guangzhou
