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Differential Polynomial Identities of Upper Triangular Matrices Under the Action of the Two-Dimensional Metabelian Lie Algebra |
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| Authors: | Di Vincenzo Onofrio M Nardozza Vincenzo |
| Institution: | 1.Dipartimento di Matematica, Informatica ed Economia, Università degli Studi della Basilicata, viale dell’Ateneo Lucano 10, 85100, Potenza, Italia ;2.Dipartimento di Matematica, Università degli Studi di Bari, via Orabona 4, 70125, Bari, Italia ; |
| Abstract: | We study the differential polynomial identities of the algebra UTm(F) under the derivation action of the two dimensional metabelian Lie algebra, obtaining a generating set of the TL-ideal they constitute. Then we determine the Sn-structure of their proper multilinear spaces and, for the minimal cases m =?2, 3, their exact differential codimension sequence. |
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