报告题目：Similarity classification for quaternionic Möbius transformations and U(1,1;H)

报告人：姚彩玲 讲师 长春中医药大学

报告时间：2026.11.10 10:00-11:00

报告地点：#腾讯会议：559-911-464

校内联系人：王骁[email protected]

报告摘要：In this talk, we present an introduction to quaternionic matrices and the group U(1,1;H), with particular emphasis on similarity invariants and quaternionic Möbius transformations. It begins with a brief account of the history, applications, and significance of quaternions, followed by a review of their basic algebraic properties and fundamental concepts concerning quaternionic matrices.

The main results of two recent papers are then presented. The first establishes similarity invariants and proves that every elliptic element of U(1,1;H) is diagonalizable within the group. The second shows that every element admits a complex representative under U(1,1;H)-similarity and constructs the complete invariants. It also derives a Chebyshev-type recurrence governing the iterates of T in U(1,1;H).

These results demonstrate how complex representations and real-valued invariants can be used to overcome the noncommutativity of quaternionic matrix theory and obtain an effective algebraic and geometric classification.

报告人简介：

姚彩玲,长春中医药大学医药信息香蕉视频 中医药与人工智能讲师 主要从事复分析与算子理论方面研究.在Bulletin of the Iranian Mathematical Society, Chinese Annals of Mathematics Series B等学术期刊发表论文.