Gröbner–Shirshov bases for some Lie algebras


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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.

作者简介

Yu. Chen

School of Mathematical Sciences

编辑信件的主要联系方式.
Email: yqchen@scnu.edu.cn
中国, Guangzhou

Y. Li

Department of Mathematics

Email: yqchen@scnu.edu.cn
中国, Huizhou

Q. Tang

School of Mathematical Sciences

Email: yqchen@scnu.edu.cn
中国, Guangzhou

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