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.
Recommended Citation
Schmidt, Emma and Turner, James, "Lie Rings and Hall Basis Elements with Two Generators" (2023). Summer Research. 42.
https://digitalcommons.calvin.edu/summer_research/2023/Posters/42
Included in
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.