We present
ChevLie-1.1, a module for
Julia and, ultimately, the emerging
OSCAR
system. It provides functions for constructing simple Lie algebras and the
corresponding Chevalley groups (of adjoint or other types), using a recently
established approach via Lusztig’s “canonical bases”. These programs, combined with
the
Julia interface to
SINGULAR, supply an efficient, user-friendly way to establish a
key part of a new characterisation of Lusztig’s “special” nilpotent orbits in simple Lie
algebras.
