2008/01/31 by Doug Pickrell · 9 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Combinatorics #Computer science #Homogeneous #Homotopy and Cohomology in Algebraic Topology #Loop (graph theory) #Mathematical analysis #Mathematics #Poisson distribution #Pure mathematics #Space (punctuation) #Toeplitz matrix #math-ph #math.MP #math.SG
paper · pdf · doi:10.3842/sigma.2008.069
published in Symmetry Integrability and Geometry Methods and Applications (National Academy of Sciences of Ukraine) · This is a contribution to the Special Issue on Kac-Moody Algebras and Applications, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
arxiv created 2008/10/07 · openalex publication_date 2008/10/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
where we studied the Hamiltonian systems which arise from the Evens-Lu construction of homogeneous Poisson structures on both compact and noncompact type symmetric spaces. In this paper we consider loop space analogues. Many of the results extend in a relatively routine way to the loop space setting, but new issues emerge. The main point of this paper is to spell out the meaning of the results, especially in the SU (2) case. Applications include integral formulas and factorizations for Toeplitz determinants.