Start Date

2023

Description

A Lie ring is a set L with three operations: addition, subtraction, and the Lie bracket. The first two follow the usual rules of addition and subtraction.

Lie rings are said to be free if there are no further relations beyond these. A subset S in L is said to generate Lie ring L if every element of L can be expressed as a sum or difference of iterated brackets on elements of S.

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Jan 1st, 12:00 AM

Lie Rings and Hall Basis Elements with Two Generators

A Lie ring is a set L with three operations: addition, subtraction, and the Lie bracket. The first two follow the usual rules of addition and subtraction.

Lie rings are said to be free if there are no further relations beyond these. A subset S in L is said to generate Lie ring L if every element of L can be expressed as a sum or difference of iterated brackets on elements of S.