8 citations · 10 across the 6 of their papers we have counts for
5 papers · 1 filter
On cyclic invariants of the free associative algebra
Silvia Boumova, Vesselin Drensky
Let be the free associative algebra of rank over a field . Lane in 1976 and Kharchenko in 1978 proved that the algebra of invariants $K\langle X…
On dihedral invariants of the free associative algebra of rank two
Silvia Boumova, Vesselin Drensky, Şehmus Fındık
Let denote the free associative algebra of rank over a field . By results of Lane (1976) and Kharchenko (1978), the algebra of invariants $K\lan…
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…
Algebraic Properties of Codimension Series of PI-Algebras
Silvia Boumova, Vesselin Drensky
For a PI-algebra R over a field of characteristic 0 let T(R) be the T-ideal of the polynomial identities of R and let c(R,t) be the codimension series of R (i.e., the generating fu…
Cocharacters of polynomial identities of upper triangular matrices
Silvia Boumova, Vesselin Drensky
We give an easy algorithm which calculates the generating function of the cocharacter sequence of the T-ideal of the polynomial identities of the algebra of upper triangular matric…