The Lie algebra of derivations on a polynomial ring and certain maximal subalgebras
Representations of non-associative algebras and superalgebras
Generalized derivations of non associative algebras and superalgebras
| Full text | |
| Author(s): |
Bianchi, Angelo Calil
;
Veloso, Marcelo Oliveira
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Journal of Algebra; v. 469, p. 96-108, JAN 1 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
We describe the set of all locally nilpotent derivations of the quotient ring K{[}X,Y, Z]/(f (X)Y - phi(X, Z)) constructed from the defining equation f (X)Y = phi(X, Z) of a generalized Danielewski surface in K-3 for a specific choice of polynomials f and phi, with K an algebraically closed field of characteristic zero. As a consequence of this description we calculate the ML-invariant and the Derksen invariant of this ring. We also determine a set of generators for the group of K-automorphisms of K{[}X, Y, Z]/(f (X)Y- phi(Z)) also for a specific choice of polynomials f and phi. (C) 2016 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 14/09310-5 - Algebraic structures and their representations |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Projects - Thematic Grants |