35 citations · 104 across the 9 of their papers we have counts for
9 papers
Computing with matrix invariants
Vesselin Drensky
This is an improved version of the talk of the author given at the Antalya Algebra Days VII on May 21, 2005. We present an introduction to the theory of the invariants under the ac…
Generators of Invariants of Two Matrices
Vesselin Drensky, Liliya Sadikova
Over a field of characteristic 0, the algebra of invariants of several matrices under simultaneous conjugation by is generated by traces of products of generic m…
Multiplicities in the trace cocharacter sequence of two matrices
Vesselin Drensky, Georgi K. Genov
We find explicitly the generating functions of the multiplicities in the pure and mixed trace cocharacter sequences of two matrices over a field of characteristic 0. We…
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…
Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras
Vesselin Drensky, C. K. Gupta
In commutative algebra, a Weitzenböck derivation is a nonzero triangular linear derivation of the polynomial algebra in several variables over a field of chara…
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…