Special linear Lie ring:sl(2,3)

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This article is about a particular Lie ring, viz., a Lie ring unique upto isomorphism
View a complete list of particular Lie rings

Definition

This is the special linear Lie ring of degree two over the field of three elements. In other words, it s the Lie ring of 2 \times 2 matrices of trace zero over the field of three elements, where the Lie bracket of two matrices A and B is AB - BA.

Arithmetic functions

Function Value Explanation
order 27
exponent 3

Lie ring properties

Property Satisfied Explanation
abelian Lie ring No
nilpotent Lie ring No
solvable Lie ring No
simple Lie ring Yes