2013/05/15 by Yuqun Chen, Li Yu, Chen, Yuqun +3
Mathematics · #03D15 #03D15 17B01 #16S15 #17B01 #20M05 #3P10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1305.4546
openalex publication_date 2013/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give Gröbner-Shirshov bases for Drinfeld-Kohno Lie algebra Ln in \cite[Et] and Kukin Lie algebra AP in \citeKukin, where P is a semigroup. As applications, we show that as ℤ-module Ln is free and a ℤ-basis of Ln is given. We give another proof of Kukin Theorem: if semigroup P has the undecidable word problem then the Lie algebra AP has the same property.