V. Drensky

activity

20032026

most citedDefining relations of invariants of two 3 \times 3 matrices

35 citations · 210 across the 68 of their papers we have counts for

collaborators

Showing 2019Show all

8 papers · 1 filter

math.RA2019

Symmetric polynomials in the free metabelian Lie algebras

Vesselin Drensky, Sehmus Findik, Nazar Sahin Oguslu

Let $K [X_{n}]$ be the commutative polynomial algebra in the variables $X_{n} = {x_{1}, \dots, x_{n}}$ over a field $K$ of characteristic zero. A theorem from undergraduate course of algebra…

math.RA2019

Cocharacters for the weak polynomial identities of the Lie algebra of $3 \times 3$ skew-symmetric matrices

M. Domokos, V. Drensky

Let $s o_{3} (K)$ be the Lie algebra of $3 \times 3$ skew-symmetric matrices over a field $K$ of characteristic 0. The ideal $I (M_{3} (K), s o_{3} (K))$ of the weak polynomial identities of the…

math.RA2019★ 2 cited

Locally Nilpotent Derivations of Free Algebra of Rank Two

Vesselin Drensky, Leonid Makar-Limanov

In commutative algebra, if $δ$ is a locally nilpotent derivation of the polynomial algebra $K [x_{1}, \dots, x_{d}]$ over a field $K$ of characteristic 0 and $w$ is a nonzero element of…

math.RA2019★ 7 cited

Weak polynomial identities for a vector space with a symmetric bilinear form

Vesselin S. Drensky, Plamen E. Koshlukov

Let $V_{k}$ be a $k$ -dimensional vector space with a non-degenerate symmetric bilinear form over a field $K$ of characteristic 0 and let $C_{k}$ be the Clifford algebra on $V_{k}$ . We st…

math.AC2019

Generalized Nowicki conjecture

Vesselin Drensky

Let $B$ be an integral domain over a field $K$ of characteristic 0. The derivation $δ$ of $B [Y_{d}] = B [y_{1}, \dots, y_{d}]$ is elementary if $δ (B) = 0$ and $δ (y_{i}) \in B$ , $i = 1, \dots, d$ . Th…