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- Title
Simple superelliptic Lie algebras.
- Authors
Cox, Ben; Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming
- Abstract
Let , . Then we have the algebraic curve , and its coordinate algebras (the Riemann surfaces) and The Lie algebras and are called the th superelliptic Lie algebras associated to . In this paper, we determine the necessary and sufficient conditions for such Lie algebras to be simple, and determine their universal central extensions and their derivation algebras. We also study the isomorphism and automorphism problem for these Lie algebras, which will help to understand the birational equivalence of some algebraic curves of the form .
- Subjects
ELLIPTIC curves; LIE algebras; ISOMORPHISM (Mathematics); AUTOMORPHISMS; PROBLEM solving
- Publication
Communications in Contemporary Mathematics, 2017, Vol 19, Issue 3, p-1
- ISSN
0219-1997
- Publication type
Article
- DOI
10.1142/S0219199716500322