Back to Search
Start Over
Potential algebras with few generators
- Source :
- Glasgow Math. J. 62 (2020) S28-S76
- Publication Year :
- 2018
-
Abstract
- We give a complete description of quadratic potential and twisted potential algebras on 3 generators as well as cubic potential and twisted potential algebras on 2 generators up to graded algebra isomorphisms under the assumption that the ground field is algebraically closed and has characteristic different from 2 or 3. We also prove that for two generated potential algebra necessary condition of finite-dimensionality is that potential contains terms of degree three, this answers a question of Agata Smoktunowicz and the first named author, formulated in [AN]. We clarify situation in case of arbitrary number of generators as well.<br />Comment: 49 pages
Details
- Database :
- arXiv
- Journal :
- Glasgow Math. J. 62 (2020) S28-S76
- Publication Type :
- Report
- Accession number :
- edsarx.1806.06829
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1017/S0017089520000233