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组合不变性猜想
释义
组合不变性猜想
Encyclopedia
理学
卡日丹-卢斯蒂格多项式
释
combinatorial invariance conjecture
组合不变性猜想
1979年,D.卡日丹(David Kazhdan,以色列,1946-06-20~ )和G.卢斯蒂格(George Lusztig,美国,1946-05-20~ )对任意考克斯特群定义了一族多项式,由中的一对元素所确定。这类多项式后来被称为卡日丹-卢斯蒂格多项式,与代数几何、舒伯特流形以及表示论等数学分支都有关联。组合不变性猜想的内容:(猜想)卡日丹-卢斯蒂格多项式只由布吕埃偏序集[]的组合结构决定。换句话说,对于在两个考克斯特群上分别取布吕埃区间[],[],如果存在区间上的偏序集同构映射,则保持卡日丹—卢斯蒂格多项式不变。
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