컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0496 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Algebra / Representation Theory / Lie Theory (SS-02) |
| 영문제목 (Title(Eng.)) |
Semi-involutory matrices and signed self-inverses |
| 저자(Author(s)) |
Gi-Sang Cheon1, Hana Kim1, Yongdo Lim1 Sungkyunkwan University1 |
| 초록본문(Abstract) | A nonsingular matrix $A$ of order $n$ over the real field is said to be semi-involutory if there exist nonsingular diagonal matrices $D$ and $D'$ such that $A^{-1}=DAD'$. In particular, if every diagonal entry of $D$ and $D'$ is either $+1$ or $-1$ then $A$ is said to be signed semi-involutory. In this talk, we explore several properties of (signed) semi-involutory matrices, and provide various classes of signed semi-involutory matrices. Additionally, we introduce the concept of the signed self-inverse which includes a signed semi-involutory matrix, and some conjectures concerning the signed self-inverses. |
| 분류기호 (MSC number(s)) |
15A09, 15B35 |
| 키워드(Keyword(s)) | involutory matrix, signed self-inverse |
| 강연 형태 (Language of Session (Talk)) |
English |