Abstract:Let L be a complex semisimple Lie algebra with specified Chevalley generators. Let V be a finite dimensional representation of L with weight basis B. The supporting graph P of B is defined to be the directed graph whose vertices are the elements of B and whose colored edges describe the supports of the actions of the Chevalley generators on V. Four properties of weight bases are introduced in this setting, and several families of representations are shown to have weight bases which have or are conjectured to h… Show more
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.