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*-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 $…
An uncountable family of almost nilpotent varieties of polynomial growth
S. Mishchenko, A. Valenti
A non-nilpotent variety of algebras is almost nilpotent if any proper subvariety is nilpotent. Let the base field be of characteristic zero. It has been shown that for associative…
Multiplicities in the mixed trace cocharacter sequence of two matrices
Vesselin Drensky, Georgi K. Genov, Angela Valenti
We find explicitly the multiplicities in the (mixed) trace cocharacter sequence of two matrices over a field of characteristic 0 and show that asymptotically they behav…