F. Benanti

activity

20052021

most citedDefining Relations of Noncommutative Trace Algebra of Two

3 \times 3

Matrices

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.RA2021

*-Graded Capelli Polynomials and their Asymptotic

F. S. Benanti, A. Valenti

Let $F ⟨ Y \cup Z, * ⟩$ be the free $*$ -superalgebra over a field $F$ of characteristic zero and let $Γ_{M^{\pm}, L^{\pm}}^{*}$ be the $T_{Z_{2}}^{*}$ -i…

math.RA2019

Asymptotics for Capelli Polynomials with Involution

F. S. Benanti, A. Valenti

Let $F ⟨ X, * ⟩$ be the free associative algebra with involution $*$ over a field $F$ of characteristic zero. We study the asymptotic behavior of the sequence of $…

math.RA2007

Defining Relations of Minimal Degree of the Trace Algebra of $3 \times 3$ Matrices

Francesca Benanti, Vesselin Drensky

The trace algebra C(n,d) over a field of characteristic 0 is generated by all traces of products of d generic nxn matrices, n,d>1. Minimal sets of generators of C(n,d) are known fo…

math.RA2005★ 1 cited

Defining Relations of Noncommutative Trace Algebra of Two $3 \times 3$ Matrices

Francesca Benanti, Vesselin Drensky

The noncommutative (or mixed) trace algebra $T_{n d}$ is generated by $d$ generic $n \times n$ matrices and by the algebra $C_{n d}$ generated by all traces of products of generic mat…

*-Graded Capelli Polynomials and their Asymptotic

Asymptotics for Capelli Polynomials with Involution

Defining Relations of Minimal Degree of the Trace Algebra of 3×3 Matrices

Defining Relations of Noncommutative Trace Algebra of Two 3×3 Matrices

Defining Relations of Minimal Degree of the Trace Algebra of $3 \times 3$ Matrices

Defining Relations of Noncommutative Trace Algebra of Two $3 \times 3$ Matrices