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
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:
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