Steinberg symbol

The Steinberg symbol is a mathematical object used in the study of algebraic groups and representation theory. It is particularly associated with the representation of the group of p-adic points of a reductive group over a local field. The Steinberg symbol is generally denoted as \( \{x, y\} \) for elements \( x \) and \( y \) in a group, and it captures certain aspects of the cohomology of the group.