We study the differential polynomial identities of the algebra $UT_m(F)$ under the derivation action of the two dimensional metabelian Lie algebra, obtaining a generating set of the $T_L$- ideal they constitute. Then we determine the $S_n$-structure of their proper multilinear spaces and, for the minimal cases m=2, 3, their exact differential codimension sequence
Differential Polynomial Identities of Upper Triangular Matrices under the action of the two-dimensional metabelian Lie algebra
Onofrio M. Di Vincenzo;Vincenzo Nardozza
2021-01-01
Abstract
We study the differential polynomial identities of the algebra $UT_m(F)$ under the derivation action of the two dimensional metabelian Lie algebra, obtaining a generating set of the $T_L$- ideal they constitute. Then we determine the $S_n$-structure of their proper multilinear spaces and, for the minimal cases m=2, 3, their exact differential codimension sequenceFile in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
