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題 名 | On a Study of Quantum Matroids and Partial Geometric Lattices |
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作 者 | 傅東山; | 書刊名 | 國立屏東商專學報 |
卷 期 | 5 1997.05[民86.05] |
頁 次 | 頁295-308 |
分類號 | 311.35 |
關鍵詞 | |
語 文 | 英文(English) |
英文摘要 | Partial geometric lattices, first introduced by Bose [1] as a generalization of partial geometries, are lattices of arbitrary rank satisfying certain conditions on parameters. Quantum matroids, initiated by Terwilliger [11] as a framework to study distance-regular graphs with classical parameters, are semilattices satisfying certain geometric conditions. Both structures share a lot of common properties. In spite of the different feature that one is a lattice and the other is a semilattice, the axioms for partial geometric lattices and those for quantum matroids are shown to be essentially equivalent. As a result, the geometric conditions for quantum matroids can be replaced by certain conditions on parameters. We also give a unified proof of the Erdos-Ko-Rado theorem for q-analog of Johnson schemes and q-analog of Hamming schemes as an application of quantum matroids. |
本系統中英文摘要資訊取自各篇刊載內容。