Diagrams of representations

Aleksandrs Mihailovs
Department of Mathematics
University of Pennsylvania
Philadelphia, PA 19104-6395
http://www.math.upenn.edu/~mihailov/

For a representation of a Lie algebra, one can construct a diagram 
of the representation, i. e. a directed graph with edges labeled by matrix 
elements of the representation. This article explains how to use 
these diagrams to describe normal forms, orbits and invariants of 
the representation, especially for the case of nilpotent Lie algebras.

Preprint (March 14, 1998)