P. Koshlukov

activity

20122026

most citedGroup gradings on the Jordan algebra of upper triangular matrices

15 citations · 50 across the 25 of their papers we have counts for

collaborators

Showing 2024 · math.RAShow all

5 papers · 2 filters

math.RA2024

Gradings, graded identities, $$ -identities and graded $$ -identities of an algebra of upper triangular matrices

Jonatan Andres Gomez Parada, Plamen Koshlukov

Let $K ⟨ X ⟩$ be the free associative algebra freely generated over the field $K$ by the countable set $X = {x_{1}, x_{2}, \dots}$ . If $A$ is an associative $K$ -algebra,…

math.RA2024

Graded Identities for the Adjoont Representation of $s l_{2}$

Cássia F. Sampaio, Plamen E. Koshlukov

Let $K$ be a field of characteristic zero and let $sl_{2} (K)$ be the 3-dimensional simple Lie algebra over $K$ . In this paper we describe a finite basis for the $\mathbb{…

math.RA2024

A negative answer to a Bahturin-Regev conjecture about regular algebras in positive characteristic

Lucio Centrone, Plamen Koshlukov, Kauê Pereira

Let $A = A_{1} \oplus \dots \oplus A_{r}$ be a decomposition of the algebra $A$ as a direct sum of vector subspaces. If for every choice of the indices $1 \leq i_{j} \leq r$ there exist $a_{i_j}…

math.RA2024

WEAK $G$ -IDENTITIES FOR THE PAIR $(M_{2} (C), s l_{2} (C))$

Ramon Códamo, Plamen Koshlukov

In this paper we study algebras acted on by a finite group $G$ and the corresponding $G$ -identities. Let $M_{2} (C)$ be the $2 \times 2$ matrix algebra over the field of comp…

math.RA2024

Specht property for the graded identities of the pair $(M_{2} (D), s l_{2} (D))$

Ramon Códamo, Plamen Koshlukov

Let $D$ be a Noetherian infinite integral domain, denote by $M_{2} (D)$ and by $s l_{2} (D)$ the $2 \times 2$ matrix algebra and the Lie algebra of the traceless matrices in $M_{2} (D)$ , resp…

Gradings, graded identities, ∗-identities and graded ∗-identities of an algebra of upper triangular matrices

Graded Identities for the Adjoont Representation of sl2​

A negative answer to a Bahturin-Regev conjecture about regular algebras in positive characteristic

WEAK G-IDENTITIES FOR THE PAIR (M2​(C),sl2​(C))

Specht property for the graded identities of the pair (M2​(D),sl2​(D))

Gradings, graded identities, $$ -identities and graded $$ -identities of an algebra of upper triangular matrices

Graded Identities for the Adjoont Representation of $s l_{2}$

WEAK $G$ -IDENTITIES FOR THE PAIR $(M_{2} (C), s l_{2} (C))$

Specht property for the graded identities of the pair $(M_{2} (D), s l_{2} (D))$