On star-homogeneous-graded polynomial identities of upper triangular matrices over an arbitrary field
arxiv(2024)
Abstract
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 arbitrary base field. We obtain the asymptotic behaviour of the
codimension sequence when the characteristic of the base field is zero. As a
consequence, we compute the exponent and the second exponent of the same
algebra endowed with any group grading and any homogeneous involution.
MoreTranslated text
AI Read Science
Must-Reading Tree
Example
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined