Some Properties of Frobenius Lie Algebras.
Speaker: Tony Giaquinto, Loyola University Chicago
Abstract: A Lie algebra is Frobenius if there exists a linear functional F such that the bilinear form F([x, y]) is non-degenerate. The relation between Frobenius Lie algebras and the classical Yang-Baxter equation (CYBE) is well-studied. In this talk I will show how to explicitly construct solutions to the CYBE from certain graphs associated to the linear functional F. I will also report on the principal element, the Ooms Spectrum, and other interesting properties and conjectures about Frobenius Lie algebras
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:30pm