컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0463 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Algebra / Representation Theory / Lie Theory (SS-02) |
| 영문제목 (Title(Eng.)) |
Bounded distance preserving surjective mappings on block triangular matrix algebras |
| 저자(Author(s)) |
Wai-Leong Chooi1, Ming-Huat Lim1 Institute of Mathematical Sciences, University of Malaya1 |
| 초록본문(Abstract) | Let ${\mathcal M}_{n}$ be the algebra of $n\times n$ matrices over a field. Let ${\mathcal T}_{n_{i},k}$ be a subalgebra of ${\mathcal M}_{n}$ consisting of $k\times k$ block upper triangular matrices $(A_{ij})$ with $A_{ii}\in{\mathcal M}_{n_{i}}$ for $i=1,\ldots,k$ and $n_{1}+\cdots+n_{k}=n$. In this talk, we present a classification of surjective mappings $\psi$ preserving bounded distance in both directions on block triangular matrix algebras ${\mathcal T}_{n_{i},k}$, with $n_{1},n_{k}\geqslant 2$, over an arbitrary field with at least three elements by showing that $\psi$ are bijective mappings preserving adjacency in both directions. As an application, we give a characterization of surjective mappings on ${\mathcal T}_{n_{i},k}$ that preserve matrix pairs with a fixed distance in both directions. |
| 분류기호 (MSC number(s)) |
15A03, 15A04, 15A86 |
| 키워드(Keyword(s)) | block triangular matrix algebras, bounded distance preserving mappings, adjacency preserving mappings, geometry of matrices |
| 강연 형태 (Language of Session (Talk)) |
English |