dc.creator | Cagliero, Leandro Roberto | |
dc.creator | Levstein, Fernando | |
dc.creator | Szechtman, Fernando | |
dc.date.accessioned | 2021-10-12T18:27:29Z | |
dc.date.accessioned | 2022-10-15T15:19:16Z | |
dc.date.available | 2021-10-12T18:27:29Z | |
dc.date.available | 2022-10-15T15:19:16Z | |
dc.date.created | 2021-10-12T18:27:29Z | |
dc.date.issued | 2021-11-20 | |
dc.identifier | Cagliero, Leandro Roberto; Levstein, Fernando; Szechtman, Fernando; Nilpotency degree of the nilradical of a solvable Lie algebra on two generators and uniserial modules associated to free nilpotent Lie algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 585; 20-11-2021; 447-483 | |
dc.identifier | 0021-8693 | |
dc.identifier | http://hdl.handle.net/11336/143320 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4401961 | |
dc.description.abstract | Given a sequence d~ = (d1, . . . , dk) of natural numbers, we consider
the Lie subalgebra h of gl(d, F), where d = d1 + · · · + dk and F is a field of
characteristic 0, generated by two block upper triangular matrices D and E
partitioned according to d~, and study the problem of computing the nilpotency
degree m of the nilradical n of h. We obtain a complete answer when D and E
belong to a certain family of matrices that arises naturally when attempting
to classify the indecomposable modules of certain solvable Lie algebras.
Our determination of m depends in an essential manner on the symmetry of
E with respect to an outer automorphism of sl(d). The proof that m depends
solely on this symmetry is long and delicate.
As a direct application of our investigations on h and n we give a full
classification of all uniserial modules of an extension of the free ℓ-step nilpotent
Lie algebra on n generators when F is algebraically closed. | |
dc.language | eng | |
dc.publisher | Academic Press Inc Elsevier Science | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0021869321003082 | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jalgebra.2021.06.008 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | FREE ℓ-STEP NILPOTENT LIE ALGEBRA | |
dc.subject | INDECOMPOSABLE | |
dc.subject | NILPOTENCY CLASS | |
dc.subject | UNISERIAL | |
dc.title | Nilpotency degree of the nilradical of a solvable Lie algebra on two generators and uniserial modules associated to free nilpotent Lie algebras | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |