Superconformal algebras over arbitrary rings of coefficients
We define analogs of superconformal algebras over an arbitrary commutative associative superalgebra. In the case that the commutative associative superalgebras are finitely generated, the universal central extensions of these analogs are finitely presented. In particular, we show that all known superconformal algebras are finitely presented.
Authors
- Efim Zelmanov (ORCID: https://orcid.org/0000-0003-1789-6491)
- Zezhou Zhang
- Consuelo Martínez (ORCID: https://orcid.org/0000-0002-8987-5641)
Institutions
- Universidad de Oviedo (ES)
- Beijing Normal University (CN)
- Southern University of Science and Technology (CN)
Publication Details
- Journal
- Communications in Contemporary Mathematics
- Published
- 2026-10-30
- DOI
- https://doi.org/10.1142/s0219199726500896
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ministerio de Ciencia, Innovación y Universidades
- National Natural Science Foundation of China