- 作者: 黃大原; 潘業忠
- 作者服務機構: 國立交通大學應用數學研究所
- 中文摘要: 分別定義在交錯雙線型和二次型上的結合架構具有完全相同的參數組,惟其幾何性質截然不同。在這篇論文裡,我們為交錯雙線型給合架構提供了適當的幾何模式,並且作了詳盡的分析。
- 英文摘要: The geometric structures of the two known families of (P&Q)-polynomial association schemesdefined on alternating bilinear forms and quadratic forms respectively are different, although their inter-section arrays are identical. In this paper, toward the goal of geometric characterization for each of theknown (P&Q)-polynomial association schemes, a diagram geometry for the association scheme of alternat-ing bilinear forms is offered, and some details for this diagram geometry are provided. A generalizationof the incidence structure of nets is introduced.
- 中文關鍵字: alternating bilinear forms; (P&Q)-polynomial association schemes; diagram geometry; generalized net
- 英文關鍵字: --