On reflections of roots in positive characteristic

Abstract

For a Lie superalgebra with Cartan matrix over a field of positive characteristic, some information about its root system in terms of the system of simple roots corresponding to the Chevalley generators is described, under certain given assumptions. This information may be useful for finding other systems of simple roots of such a Lie superalgebra and other Cartan matrices which produce Lie superalgebras isomorphic to a given one.