35 citations · 104 across the 10 of their papers we have counts for
5 papers · 2 filters
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…
Automorphisms fixing a variable of K<x,y,z>
Vesselin Drensky, Jie-Tai Yu
We study automorphisms of the free associative algebra K<x,y,z> over a field K which fix z and such that the images of x, y are linear with respect to x, y. We prove that some of t…
Invariants of unipotent transformations acting on noetherian relatively free algebras
Vesselin Drensky
The classical theorem of Weitzenboeck states that the algebra of invariants of a single unipotent transformation in acting on the polynomial algebra …
Defining relations of invariants of two 3 \times 3 matrices
Helmer Aslaksen, Vesselin Drensky, Liliya Sadikova
Over a field of characteristic 0, the algebra of invariants of several matrices under simultameous conjugation by is generated by traces of products of generic m…