On the Universal Central Extension of Hyperelliptic Current Algebras

2015/03/11 by Ben Cox, Cox, Ben
Mathematics · Physics and Astronomy · #17B67 #81B50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Primary 17B37 #Representation Theory (math.RT) #Secondary 81R10 #math.RT #msc:17B37 #msc:17B67 #msc:81B50 #msc:81R10

paper · pdf · doi:10.48550/arxiv.1503.03279

Sign change, name change in the last theorem

openalex publication_date 2015/03/11 · arxiv created 2015/07/20 · arxiv updated 2015/07/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let p(t)∈\mathbb C[t] be a polynomial with distinct roots and nonzero constant term. We describe, using Faá de Bruno's formula and Bell polynomials, the universal central extension in terms of generators and relations for the hyperelliptic current Lie algebras \mathfrak g⊗ R whose coordinate ring is of the form R=\mathbb C[t,t^-1,u | u²=p(t)].

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