Carla Rizzo

activity

20182026

most citedDifferential identities and polynomial growth of the codimensions

6 citations · 18 across the 9 of their papers we have counts for

collaborators

10 papers

math.RA2026

$W$ -algebras with involution: polynomial identities and asymptotic growth

Ginevra Giordani, Antonio Ioppolo, Carla Rizzo

Let $W$ be an algebra with involution over a field of characteristic zero. We develop a theory of $W$ -polynomial identities with involution for finite-dimensional $(W, *)$ -algebras…

math.RA2026

Differential varieties of upper triangular matrices

Daniela La Mattina, Carla Rizzo

Let $L$ be a Lie algebra acting by derivations on an associative algebra $A$ over a field $F$ of characteristic zero. The polynomial identities satisfied by $A$ with respect to thi…

math.RA2026

On anti-left-invariant and left-invariant pseudo-Euclidean nearly associative algebras

Elisabete Barreiro, Said Benayadi, Hamza El Ouali +1

We introduce the notions of anti-left-invariant and left-invariant pseudo-Euclidean nearly associative algebras, which arise as nearly associative Levi-Civita products associated w…

math.RA2025

Varieties of graded $W$ -algebras and asymptotic behavior of codimension growth

Giovanni Busalacchi, Fabrizio Martino, Carla Rizzo

Let $W$ be a $G$ -graded algebra over a field of characteristic zero, where $G$ is a finite group. We develope a theory of generalized $G$ -graded polynomial identities satisfied by…

math.RA2025

Multipliers, $W$ -algebras and the growth of generalized polynomial identities

Fabrizio Martino, Carla Rizzo

Let $A$ be a $W$ -algebra over a field $F$ of characteristic zero, where $W$ is any $F$ -algebra. We first develop a comprehensive theory of generalized identities independent of the…

math.RA2024★ 2 cited

Bialgebra theory for nearly associative algebras and $L R$ -algebras: equivalence, characterization, and $L R$ -Yang-Baxter Equation

Elisabete Barreiro, Saïd Benayadi, Carla Rizzo

We develop the bialgebra theory for two classes of non-associative algebras: nearly associative algebras and $L R$ -algebras. In particular, building on recent studies that reveal co…

math.RA2024★ 1 cited

Differential identities of matrix algebras

Jose Brox, Carla Rizzo

We study the differential identities of the algebra $M_{k} (F)$ of $k \times k$ matrices over a field $F$ of characteristic zero when its full Lie algebra of derivations, $L=\mbox{Der}…

math.RA2023★ 3 cited

The $2 \times 2$ upper triangular matrix algebra and its generalized polynomial identities

F. Martino, C. Rizzo

Let $U T_{2}$ be the algebra of $2 \times 2$ upper triangular matrices over a field $F$ of characteristic zero. Here we study the generalized polynomial identities of $U T_{2}$ , i.e., ide…

math.RA2022★ 6 cited

Differential codimensions and exponential growth

Carla Rizzo

Let $A$ be a finite dimensional associative algebra with derivations over a field of characteristic zero, i.e., an algebra whose structure is enriched by the action of a Lie algebr…

math.RA2018★ 6 cited

Differential identities and polynomial growth of the codimensions

Carla Rizzo, Rafael Bezerra dos Santos, Ana Cristina Vieira

Let $A$ be an associative algebra over a field $F$ of characteristic zero and let $L$ be a Lie algebra over $F$ . If $L$ acts on $A$ by derivations, then such an action determines a…

W-algebras with involution: polynomial identities and asymptotic growth

Differential varieties of upper triangular matrices

On anti-left-invariant and left-invariant pseudo-Euclidean nearly associative algebras

Varieties of graded W-algebras and asymptotic behavior of codimension growth

Multipliers, W-algebras and the growth of generalized polynomial identities

Bialgebra theory for nearly associative algebras and LR-algebras: equivalence, characterization, and LR-Yang-Baxter Equation

Differential identities of matrix algebras

The 2×2 upper triangular matrix algebra and its generalized polynomial identities

Differential codimensions and exponential growth

Differential identities and polynomial growth of the codimensions

$W$ -algebras with involution: polynomial identities and asymptotic growth

Varieties of graded $W$ -algebras and asymptotic behavior of codimension growth

Multipliers, $W$ -algebras and the growth of generalized polynomial identities

Bialgebra theory for nearly associative algebras and $L R$ -algebras: equivalence, characterization, and $L R$ -Yang-Baxter Equation

The $2 \times 2$ upper triangular matrix algebra and its generalized polynomial identities