Symbols:Greek/Lambda/Left Regular Representation

Left Regular Representation

$\lambda_a$

Let $\struct {S, \circ}$ be an algebraic structure.

The mapping $\lambda_a: S \to S$ is defined as:

$\forall x \in S: \map {\lambda_a} x = a \circ x$

This is known as the left regular representation of $\struct {S, \circ}$ with respect to $a$.

The $\LaTeX$ code for \(\map {\lambda_a} x\) is \map {\lambda_a} x .