Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Yasumura, Felipe Yukihide"'
We study the algebra of upper triangular matrices endowed with a group grading and a homogeneous involution over an infinite field. We compute the asymptotic behaviour of its (graded) star-codimension sequence. It turns out that the asymptotic growth
Externí odkaz:
http://arxiv.org/abs/2408.00087
We complete the description of group gradings on finite-dimensional incidence algebras. Moreover, we classify the finite-dimensional graded algebras that can be realized as incidence algebras endowed with a group grading.
Externí odkaz:
http://arxiv.org/abs/2406.19329
We investigate the Grassmann envelope (of finite rank) of a finite-dimensional $\mathbb{Z}_2$-graded algebra. As a result, we describe the polynomial identities of $G_1(\mathcal{A})$, where $G_1$ stands for the Grassmann algebra with $1$ generator, a
Externí odkaz:
http://arxiv.org/abs/2406.17270
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 graded polynomial identities admits a finite basis. We find cond
Externí odkaz:
http://arxiv.org/abs/2402.10839
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 identities and a basis of the relatively free algebra, considering an a
Externí odkaz:
http://arxiv.org/abs/2402.02671
Autor:
Yasumura, Felipe Yukihide
In this paper we construct a graded universal enveloping algebra of a $G$-graded Lie algebra, where $G$ is not necessarily an abelian group. If the grading group is abelian, then it coincides with the classical construction. We prove the existence an
Externí odkaz:
http://arxiv.org/abs/2301.11907
Classifying isomorphism classes of group gradings on algebras presents a compelling challenge, particularly within the realms of non-simple and infinite-dimensional algebras, which have been relatively unexplored. This study focuses on a kind of alge
Externí odkaz:
http://arxiv.org/abs/2301.00868
Autor:
Yasumura, Felipe Yukihide
In this short note, we describe the so-called homogeneous involution on finite-dimensional graded-division algebra over an algebraically closed field. We also compute their graded polynomial identities with involution. As pointed out by L. Fonseca an
Externí odkaz:
http://arxiv.org/abs/2207.13562
Autor:
Yasumura, Felipe Yukihide
We compute the graded polynomial identities and its graded codimension sequence for the elementary gradings of the Lie algebra of upper triangular matrices of order 3.
Externí odkaz:
http://arxiv.org/abs/2207.12921
Publikováno v:
In Journal of Algebra 15 February 2025 664 Part A:756-779
