1
$\begingroup$

I am searching for a reference on the Gröbner-Shirshov algorithm specifically for free restricted Lie algebras. I have already consulted the textbook by Bokut et al (Gröbner–Shirshov Bases Normal Forms, Combinatorial and Decision Problems in Algebra)., as well as various papers, but so far, I haven't found a suitable reference.

Given Shirshov's paper "On Free Lie Rings," I suspect there could be an analogous algorithm for the restricted case. If anyone is aware of such a reference, I would greatly appreciate your guidance.

Improve this question
$\endgroup$
2
  • $\begingroup$ Which text do you refer as "textbook by Bokut et al."? $\endgroup$
    – YCor
    Commented Oct 10 at 15:13
  • $\begingroup$ @YCor Thank you very much for your consideration! I was referring to the book "Gröbner–Shirshov Bases Normal Forms, Combinatorial and Decision Problems in Algebra" (doi.org/10.1142/9287). $\endgroup$
    – gualterio
    Commented Oct 10 at 15:26

0

Reset to default

You must log in to answer this question.