2014/10/20 by Elizabeth Jurisich, Renato A. Martins, Jurisich, Elizabeth +1
Engineering · Mathematics · #17B01 #17B56 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #FOS: Mathematics #Optical Network Technologies #Representation Theory (math.RT) #math.RT #msc:17B01 #msc:17B56
paper · pdf · doi:10.48550/arxiv.1410.5479
openalex publication_date 2014/10/20 · arxiv created 2014/10/23 · arxiv updated 2014/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We provide formulas for computing the cocycles on a 3-point Witt algebra Der(R), using an isomorphism between two 3-point algebras Der(R) and Der(S), where the cocycle is already defined. These cocycles can be used to construct universal central extensions and the 3-point Virasoro, which are useful for the representation theory of a 3-point current algebra. The computations determining the cocycles on Der(R) involve elegant applications of the Chu-Vandermonde convolution and other identities for sums of binomial coefficients.