The Onsager Algebra

Title: The Onsager Algebra
Authors: EI-Chaar, Caroline
Date: 2010
Abstract: In this thesis, four realizations of the Onsager algebra are explored. We begin with its original definition as introduced by Lars Onsager. We then examine how the Onsager algebra can be presented as a Lie algebra with two generators and two relations. The third realization of the Onsager algebra consists of viewing it as an equivariant map algebra which then gives us the tools to classify its closed ideals. Finally, we examine the Onsager algebra as a subalgebra of the tetrahedron algebra. Using this fourth realization, we explicitly describe all its ideals.
CollectionTh├Ęses, 1910 - 2010 // Theses, 1910 - 2010
MR73779.PDF2.45 MBAdobe PDFOpen