Groebner-Shirshov Bases for Lie Algebras: after A. I. Shirshov
L. A. Bokut, Yuqun Chen
TL;DR
This paper reviews Shirshov's method for free Lie algebras, known as Groebner-Shirshov bases, highlighting its historical development and significance in algebra.
Contribution
It provides a comprehensive review of Shirshov's pioneering work on Groebner-Shirshov bases for Lie algebras, emphasizing its foundational role.
Findings
Historical overview of Shirshov's method
Clarification of Groebner-Shirshov bases in Lie algebras
Impact on algebraic computations and theory
Abstract
In this paper, we review Shirshov's method for free Lie algebras invented by him in 1962 which is now called the Groebner-Shirshov bases theory.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology