OIST Representation Theory Seminar

Iryna Kashuba, Southern University of Science and Technology

Title: One-sided representations of Jordan algebras

Abstract: By Drozd's celebrated Tame-Wild Theorem, any finite-dimensional associative algebra over an algebraically closed field is either of tame or of wild representation type. We define a representation type of Jordan algebra J with respect to its one-sided representations as a representation type of its universal associative envelope S(J). We give a criterion for finiteness and tameness of one-sided representation of Jordan algebras with zero radical square.