8 citations · 9 across the 5 of their papers we have counts for
6 papers
A characterization of varieties of algebras of proper central exponent equal to two
F. S. Benanti, A. Valenti
Let be a field of characteristic zero and let be a variety of associative -algebras. In \cite{regev2016} Regev introduced a numerical sequence measuring the gr…
*-Graded Capelli Polynomials and their Asymptotic
F. S. Benanti, A. Valenti
Let be the free -superalgebra over a field of characteristic zero and let be the -i…
Asymptotics for Capelli Polynomials with Involution
F. S. Benanti, A. Valenti
Let be the free associative algebra with involution over a field of characteristic zero. We study the asymptotic behavior of the sequence of $…
Computing with rational symmetric functions and applications to invariant theory and PI-algebras
Francesca Benanti, Silvia Boumova, Vesselin Drensky +2
Let the formal power series f in d variables with coefficients in an arbitrary field be a symmetric function decomposed as a series of Schur functions, and let f be a rational func…
Defining Relations of Minimal Degree of the Trace Algebra of 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…
Defining Relations of Noncommutative Trace Algebra of Two Matrices
Francesca Benanti, Vesselin Drensky
The noncommutative (or mixed) trace algebra is generated by generic matrices and by the algebra generated by all traces of products of generic mat…