Images of multilinear graded polynomials on upper triangular matrix algebras
P Fagundes, P Koshlukov - Canadian Journal of Mathematics, 2023 - cambridge.org
Images of multilinear graded polynomials on upper triangular matrix algebras Page 1 Canad.
J. Math. 2022, pp. 1–26 http://dx.doi.org/10.4153/S0008414X22000438 © The Author(s), 2022 …
J. Math. 2022, pp. 1–26 http://dx.doi.org/10.4153/S0008414X22000438 © The Author(s), 2022 …
On star-homogeneous-graded polynomial identities of upper triangular matrices over an arbitrary field
TC de Mello, FY Yasumura - Journal of Algebra, 2025 - Elsevier
We study the graded polynomial identities with a homogeneous involution on the algebra of
upper triangular matrices endowed with a fine group grading. We compute their polynomial …
upper triangular matrices endowed with a fine group grading. We compute their polynomial …
Graded polynomial identities of the infinite-dimensional upper triangular matrices over an arbitrary field
MS Garcia, FY Yasumura - Journal of Algebra, 2025 - Elsevier
We compute the graded polynomial identities of the infinite dimensional upper triangular
matrix algebra over an arbitrary field. If the grading group is finite, we prove that the set of …
matrix algebra over an arbitrary field. If the grading group is finite, we prove that the set of …
Graded polynomial identities for the Lie algebra of upper triangular matrices of order 3
FY Yasumura - Communications in Algebra, 2023 - Taylor & Francis
Full article: Graded polynomial identities for the Lie algebra of upper triangular matrices of order 3
Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …
Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …
Jordan algebras of a degenerate bilinear form: Specht property and their identities
Let K be a field and let J n, k be the Jordan algebra of a degenerate symmetric bilinear form
b of rank n− k over K. Then one can consider the decomposition J n, k= B n− k⊕ D k, where …
b of rank n− k over K. Then one can consider the decomposition J n, k= B n− k⊕ D k, where …
A Lie algebra over a finite field of characteristic 2: Graded polynomial identities and Specht property
P Morais, ME Salomão, M da Silva Souza - Journal of Algebra, 2024 - Elsevier
Let K be a finite field of characteristic 2, and UT 2:= UT 2 (K) be the Lie algebra of 2× 2 upper
triangular matrices over K with the multiplication x∘ y= x y+ yx= xy− y x. In this paper, we …
triangular matrices over K with the multiplication x∘ y= x y+ yx= xy− y x. In this paper, we …
Graded polynomial identities and Specht property for the Lie algebra of upper triangular matrices of order 3
DM Correa, FY Yasumura - arXiv preprint arXiv:2412.13325, 2024 - arxiv.org
We compute the graded polynomial identities for the variety of graded algebras generated
by the Lie algebra of upper triangular matrices of order 3 over an arbitrary field and …
by the Lie algebra of upper triangular matrices of order 3 over an arbitrary field and …
Gradings on the algebra of triangular matrices as a Lie algebra: Revisited
P Koshlukov, FY Yasumura - Journal of Algebra, 2025 - Elsevier
We investigate the group gradings on the algebras of upper triangular matrices over an
arbitrary field, viewed as Lie algebras. Classification results were obtained in 2017 by the …
arbitrary field, viewed as Lie algebras. Classification results were obtained in 2017 by the …
Gradings on the algebra of triangular matrices as a Lie algebra: revisited
P Koshlukov, FY Yasumura - arXiv preprint arXiv:2103.11977, 2021 - arxiv.org
We investigate the group gradings on the algebra of upper triangular matrices over an
arbitrary field, viewed as a Lie algebra. These results were obtained a few years early by the …
arbitrary field, viewed as a Lie algebra. These results were obtained a few years early by the …